determine which fraction is larger 3/7 or 1/3 find the common denominator

Answers

Answer 1

Answer:

LCM is 21

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3}{7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3×3}{7×3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{2}}[/tex]

.

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1}{3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1×7}{3×7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {7}{21}}[/tex]

____________________

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}[/tex]

[tex]\therefore[/tex][tex]\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}[/tex]


Related Questions

Find EF. Please help!

Answers

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

What is the opposite of - 7/16

Answers

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.

please solve both questions, i'm very confused! thank you

Answers

Answer:

Step-by-step explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

[tex]F + I = 188\\95F + 42I = 12,507[/tex]

[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

[tex]2L + 2W = P\\2L + 2W = 899[/tex]

We are also given that

[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]

W = 333 meters, L = 233/2 meters

Simplify the expression.
4 (-y + 2) – 3y

A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8

SHOW YOUR WORK PLZSSSSSS

Answers

Answer:

B

Step-by-step explanation:

Expand to get -4y+2-3y. Combine like terms to get -7y+2.

plz help and give explaination of how to do it

Answers

Answer:

25% decreased by 60% is 10

Step-by-step explanation:

New value =

25 - Percentage decrease =

25 - (60% × 25) =

25 - 60% × 25 =

(1 - 60%) × 25 =

(100% - 60%) × 25 =

40% × 25 =

40 ÷ 100 × 25 =

40 × 25 ÷ 100 =

1,000 ÷ 100 = 10

hope this helps :)

-8 - x = x - 4x
how does x equal to 4 and how do u do this

Answers

Answer:

x=4

Step-by-step explanation:

-x=-3x+8

-x+3x=-3x+8+3x

2x=8

2x/2 = 8/2

x = 4

Jessica started the school year when she was 64.15 inches tall. She grew 2.87 inches during the school year. How tall, in inches, was Jessica at the end of the year? Show your work.

Answers

Answer:

67.02 inches

Step-by-step explanation:

If Jessica started out 64.15 inches and grew 2.87 inches then you know that you must add these together.

64.15 + 2.87 = 67.02

Jessica is 67.07 inches at the end of the school year.

I NEED HELP ASAP!!!! Pleaseeee

Answers

Answer:

jhcgskuaygrhfksrhdfcgiuzx6yh

.luc

Step-by-step explanation:

A, you just have to combine like terms

PH is the midsegment of Triangle KLM. Find the value of x.

Answers

Answer:

x = 26

Step-by-step explanation:

The midsegment is parallel to the side KM and half its length, thus

KM = x = 2 × 13 = 26

4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?

Answers

Answer:

675

Step-by-step explanation:

If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price

Let x be the original price

x* 80% = 540

Change to decimal form

x * .80 = 540

Divide each side by .80

.80x / .80 = 540/.80

x =675

The original price is 675

Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

×100

The formula

8.7

8.6

8.6

×

100

8.6

∣8.7−8.6∣

×100

Plug in values

0.1

8.6

×

100

8.6

∣0.1∣

×100

Subtract

0.1

8.6

×

100

8.6

0.1

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)

sub (1, 3):

3 = 2(1) + c

c = 1

therefore, the equation is y = 2x + 1

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)



Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping

station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and

advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)

Answers

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation

Answers

Answer:

the triangle was rotated about 90 degrees i think

Answer:

The answer is D. Rotation

Step-by-step explanation:

Took the test lol

Helps me solve this problem please

Answers

Answer:

0,2

Step-by-step explanation:

Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n

Answers

Answer: C

Step-by-step explanation:

When you can.. please answer these! THANK YOU SO MUCH WAHHH

Match the corresponding rational expressions with the letter of the correct answer.

Answers

Answer:

1-C

2-F

3-A

4-D

5-B

6-E

Step-by-step explanation:

which one is it?? answer right for brain liest

Answers

Answer:

20 (D)

Step-by-step explanation:

2.5 miles in 1/8 of a mile

so multiply by 8 to get 1 hour

2.5 * 8 = 20

which shape has the greatest number of lines of symmetry

Answers

Answer:

E

Step-by-step explanation:

It has 4 lines I think

Please mark brainliest!

Answer:

D-I believe its the square

Step-by-step explanation:

because a square has four lines of symmetry and the other one have less than four

Find X please

36/x=8/7

Answers

Answer:

i think x=31.5

Step-by-step explanation:

the answer is x = 31.5

Find the area of a square with a side that measures 2.2 centimeters.

Answers

Answer:

4.84cm squared

Step-by-step explanation:

square has 4 equal sides area = l x w l and w are 2.2*2.2

2.2*2

4.84cm squared

Hope this helps :D

Answer:4.84 cm^2

Step-by-step explanation:

Area = Length x Width

Area = 2.2 x 2.2

Area = 4.84 cm^2 (centimeters squared)

Decide whether each of the following is greater than 1 or less than 1 and explain your answer.
1.) 1/2 ÷ 1/4 =
2.) 1 ÷ 3/4 =
3.) 2/3 ÷ 7/8 =
4.) 2 7/8 ÷ 2 3/5 =

Answers

Answer:

4.) 2 7/8 ÷ 2 3/5 =

1. Greater than 1

2. Greater than 1

3. Less than 1

4. Greater than 1

Step-by-step explanation:

I took the quiz

The measures of the angles of the triangle solve for x

Answers

Answer:

x = 8

Step-by-step explanation:

if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x

3x+12 = 36

3x = 24

x = 8

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

3x + 12 + 54 + 90 = 180, simplify

3x + 156 = 180 ( subtract 156 from both sides )

3x = 24 ( divide both sides by 3 )

x = 8

write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Answers

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (-3,-6) and (2,-2). So, the equation of line is

[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]

[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]

Subtract 6 from both sides.

[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]

Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].

What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60

Answers

Answer:-60

Step-by-step explanation:

Solve (x-4)^2 = 5

A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5

Answers

Answer:

A

Step-by-step explanation:

Assuming you mean the square root of five, then the answer is A.

You start by taking the square root of both sides.

√(x - 4)^2 = ±√5

x - 4 = ±5

x = 4 ±5

Helpp me plzzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer: 2

Step-by-step explanation:

the rate Marie paints the room= 1/3

The rate her sister paints the room= 1/6

working together their combined rate is 1/3+1/6 =9/18

the time for then to work together= 9/18

= 2 hours.

i'll mark you as brainliest​

Answers

Answer:

the answer is 6

Step-by-step explanation:

The answer is 6, because 5x6=30

yay! tysm guys for helping me on this test! i got a 85! :)

Answers

Answer:

Proud of you!! <3 :)

Step-by-step explanation:

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