How can you use the GCF of the numerator and the denominator to write a fraction in simplest form? Give an example.
Answer in paragraph form using complete sentences and include any calculations, graphs, and labeled diagrams as appropriate.


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Answer:

Step-by-step explanation:

When use the GCF of the numerator and denominator you are able to divide the fraction to its simplest form. ex. 45/30 GCF: 15 45/30 / 15/15 = 3/2

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Write an equation for each situation.

8. Art buys 14 packages of batteries. After using a $ 20 coupon, the batteries cost $ 80. What was the original price, x, in dollars, of each package of batteries?

9. Grace worked for 14 hours tutoring students. She uses $20 dollars to pay for gas on the way home. If she has $80 left after paying for the gas, how much money, x, in dollars, was Grace paid per hour?

10. Karl bought 14 calculators at a store and paid $80. Each calculator was on sale for $20 off. What was the original price, x, in dollars, of each calculator?

11. Shane originally has $20. After working as a waiter in a restaurant for $14 dollars an hour, he now has $80. How many hours, x , did Shane work at the restaurant?

Which situation could be represented by the equation 32.4 = 8.1x?

A. An athlete swam 32.4 miles. It took the athlete 8.1 minutes to swim each mile. What is x, the total number of minutes the athlete swam?

B. An athlete swam 32.4 miles on Friday. The athlete swam 8.1 miles on Saturday. What is x, the total amount of miles the athlete swam on Friday and Saturday?

C. An athlete swam 32.4 miles. On Monday, the athlete swam 8.1 miles and the rest on Tuesday. What is x, the number of miles the athlete swam on Tuesday?

D. An athlete swam a total of 32.4 miles. The athlete swam 8.1 miles every day. What is x, the number of days the athlete swam?

The equation given was: (x) + (x + 3) + (x - 2) + 3(x + 3) - 1 = 87.

Using this equation, write the equation with fewer terms.

Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. 432 ÷ 73 ≈ ___ *

The current balance of Amber’s bank account was $8. She withdrew
$14. Find the new balance in her account.

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which one is it [photo is attached]

write the equation for this line

simplify by combining like terms: 1.52c + 3.12c

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Choose the student who wrote and solved the equation correctly.

The cost of 4 bananas is $2.36. What is the cost of each banana?


Mario's Work. StartFraction b Over 4 EndFraction = 2.36. A number line going from 9.41 to 9.49. A point is at 9.44.
Juan's Work. 4 b = 2.36. A number line going from 0.51 to 0.59. A point is at 0.59.
Daviana's Work. B minus 4 = 2.36. A number line going from 6.31 to 6.39. A point is at 6.36.

Arianna has 391 buttons that she will put into packets for the school fair. She needs to make at least 60 packets but no more than 70 packets of buttons for one of the games at the fair. She also needs to use as many buttons as she can so that there are very few or no left over buttons.

Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. The triangle was dilated using a scale factor of 1/4.

The lengths of the sides of triangle ABC are given.

Enter the lengths of the sides of triangle A'B'C' below.
(Decimal values may be used.)

Let f(x)=7x+5 and g(x)=x-1. If h(x)=f(g(x)), then what is the inverse of h(x)

a recipe callls for 2/3 a cup of milk thomas halves the recipe how much milk does he need

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Find the prime factorization of 196. Use a method of your choice. List your final answer
using exponents.

Neil measures the lengths of some objects in both yards and feet.
There is a proportional relationship between the number of yards, x, and the number of feet, y.
x (yards) y (feet)
1 3
2 6
3 9
6 18
What is the constant of proportionality? Write your answer as a whole number or decimal.

A bakery sells 4 muffins for $8.60. At that rate, how much would it cost to buy 5 muffins?

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hich equation corresponds to the sentence, "Five times a minus two is equal to t"?
A. 2a + 5 = t
B. 5(2) + a = t
C. 5a – 2 = t
D. 2 x 5(a) = t

This drawing shows part of a centimeter ruler. The drawing has been enlarged. The small marks indicate millimeters. The large marks indicate centimeters.


How long is the paper clip?

2.3 mm
2.3 cm
1.3 cm
2 cm

What solid geometric figure could be created using the pattern above?

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Find 15 out of these numbers: 4,3,9,7 (You can use any symbol. meaning these: +, =, ×, ÷, BUT, you can not use the same number twice.)

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Another Question help these are due soon!!!!!!