16/7 - 7/5 as a fraction

Learn how to find what is 16/7 minus 7/5 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 - 7/5 as a fraction and decimal.

Summary: 16/7 minus 7/5 = 31/35
Since both fractions have unequal denominators, 16/7 minus 7/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 7/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 5. 35 is the LCM of 7 and 5. Multiplying the LCM 35 with the numerators and denominators of both fractions (16/7 x 35/35) - (7/5 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 80/35 and for 7/5 is 49/35. By simplifying this fraction subtraction 80/35 - 49/35, it becomes 31/35.

Pie Chart Representation: 16/7 - 7/5 = 31/35

CALCULATION: 16/7 - 7/5 as a fraction
16/7 - 7/5 = (?)
16/7 - 7/5 = [(16 x 5) - (7 x 7)]/(7 x 5)
= (80 - 49)/35
= 31/35
16/7 - 7/5 = 31/35
16/7 minus 7/5 as a fraction is 31/35.

where
16/7 is a improper fraction as a minuend,
7/5 is a improper fraction as a subtrahend,
31/35 is the difference between 16/7 and 7/5.

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16/7 minus 7/5 as a decimal
16/7 - 7/5 = 31/35
31/35 = 0.8857
(16/7) - (7/5) as a decimal is 0.8857

where
0.8857 is the difference between 16/7 and 7/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/5 from 16/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/7 minus 7/5.
1. LCM method
2. Cross multiplication method.

(16/7) - (7/5) using LCM Method:
What is 16/7 minus 7/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 7/5

What to be found?
(16/7) - (7/5) = ?
Find what's the difference between 16/7 and 7/5.

step 2 Compare the denominators of fractions 16/7 and 7/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/7 and 7/5 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 16/7 and 7/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 16/7 and 7/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 - 7/5
= [(16 x 35)/(7 x 35)] - [(7 x 35)/(5 x 35)]

step 5 Simplify the expression to have common denominator:
= 80/35 - 49/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (80/1 - 49/1)
= 1/35 x (80 - 49)

step 7Simplify the above expression further:
= 1/35 x 31
= 31/35
16/7 - 7/5 = 31/35

Hence,
16/7 minus 7/5 as a fraction is 31/35.

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16/7 - 7/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 7/5

What to be found?
(16/7)-(7/5) = ?
Find what's the difference between 16/7 and 7/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 5), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (16 x 5) - (7 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (80 - 49)/35
16/7 - 7/5 = 31/35

Hence,
16/7 minus 7/5 in fraction is 31/35