Question

Find the defference between 5 2/7 and 2 2/4​

Answer 1

Answer:

The answer is 1.75

Step-by-step explanation:

Conversion a mixed number 7 1/2 to a improper fraction: 7 1/2 = 7 1/2 = 7 · 2 + 1/2 = 14 + 1/2 = 15/2

To find new numerator:

a) Multiply the whole number 7 by the denominator 2. Whole number 7 equally 7 * 2/2 = 14/2

b) Add the answer from previous step 14 to the numerator 1. New numerator is 14 + 1 = 15

c) Write a previous answer (new numerator 15) over the denominator 2.

Seven and one half is fifteen halfs

Conversion a mixed number 5 3/4 to a improper fraction: 5 3/4 = 5 3/4 = 5 · 4 + 3/4 = 20 + 3/4 = 23/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Subtract: 15/2 - 23/4 = 15 · 2/2 · 2 - 23/4 = 30/4 - 23/4 = 30 - 23/4 = 7/4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - fifteen halfs minus twenty-three quarters = seven quarters.

Answer 2

Answer: 39/14

Step-by-step explanation:

Given

5 2/7 - 2 2/4

Convert mixed fraction to improper fraction

5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7

2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2

Find the common denominator for 37/7 and 5/2

First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

First 5 multiples of 7 = 7, 14, 21, 28, 35

Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2

Convert to the common denominator

(37 × 2) / (7 × 2) = 74 / 14

(5 × 7) / (2 × 7) = 35 / 14

Simplify by subtraction of numerator

=74/14 - 35/14

=(74 - 35) / 14

=$\boxed{\frac{39}{14} }$

Hope this helps!! :)

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