Mathematics Middle School

My mom doesn't understand this question:
[tex]7\frac{1}{5} - 5\frac{1}{4}[/tex]
Please solve this equation step by step and explain, preferably with multiple methods. I tried explaining it to her but she still doesn't get it.
Thanks!

Answers

Answer 1
step 1: make the fractions improper fractions (36/5) - (21/4)

step 2: find the common denominator between 5 and 4 (20)

step 3: cross multiply them 36/5 x 4 which is going to make the fraction 144/20

step 4: do the same for the other side 21/4 x 5 105/5

step 5: now replace the old fractions with the new ones, 144/20 - 105/20

the answer should be 39/20

simplify to 1 19/20
Answer 2

The solution of the given expression is-

[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]

We must first transform mixed fractions into improper fractions before we can subtract them.

Let's transform  [tex]7\frac{1}{5}[/tex]  it into an improper fraction :

[tex]7 \frac{1}{5} = \frac{(7 * 5 + 1)}{5} = \frac{36}{5}[/tex]

Let's change [tex]5\frac{1}{4}[/tex]  into an improper fraction now:

[tex]5\frac{1}{4} = \frac{(5 * 4 + 1)}{4} = \frac{21}{4}[/tex]

We can now subtract the fractions:

To subtract fractions, we need to find a common denominator. The least common multiple or the LCM of 5 and 4 is 20.

Converting the fractions to have a common denominator of 20:

(36/5) * (4/4) = 144/20

(21/4) * (5/5) = 105/20

So the subtraction will be as follows:

[tex]\frac{36}{5} -\frac{21}{4} =\frac{(36*4)+(21*5)}{4*5} =\frac{144-105}{20}=\frac{39}{20}[/tex]

Therefore, [tex]7\frac{1}{5} -5\frac{1}{4}[/tex] is equal to  [tex]\frac{39}{20}[/tex] or,  [tex]1\frac{19}{20}[/tex] .

The solution of the given expression is-

[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]

To know more about mixed fractions, improper fractions,

https://brainly.com/question/28957298

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