4/7 - 7/16 as a fraction

Learn how to find what is 4/7 minus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 - 7/16 as a fraction and decimal.

Summary: 4/7 minus 7/16 = 15/112
Since both fractions have unequal denominators, 4/7 minus 7/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 7/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 16. 112 is the LCM of 7 and 16. Multiplying the LCM 112 with the numerators and denominators of both fractions (4/7 x 112/112) - (7/16 x 112/112), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 64/112 and for 7/16 is 49/112. By simplifying this fraction subtraction 64/112 - 49/112, it becomes 15/112.

Pie Chart Representation: 4/7 - 7/16 = 15/112

CALCULATION: 4/7 - 7/16 as a fraction
4/7 - 7/16 = (?)
4/7 - 7/16 = [(4 x 16) - (7 x 7)]/(7 x 16)
= (64 - 49)/112
= 15/112
4/7 - 7/16 = 15/112
4/7 minus 7/16 as a fraction is 15/112.

where
4/7 is a proper fraction as a minuend,
7/16 is a proper fraction as a subtrahend,
15/112 is the difference between 4/7 and 7/16.

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4/7 minus 7/16 as a decimal
4/7 - 7/16 = 15/112
15/112 = 0.1339
(4/7) - (7/16) as a decimal is 0.1339

where
0.1339 is the difference between 4/7 and 7/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/16 from 4/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/7 minus 7/16.
1. LCM method
2. Cross multiplication method.

(4/7) - (7/16) using LCM Method:
What is 4/7 minus 7/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 7/16

What to be found?
(4/7) - (7/16) = ?
Find what's the difference between 4/7 and 7/16.

step 2 Compare the denominators of fractions 4/7 and 7/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 7/16 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 4/7 and 7/16:
The LCM of 7 and 16 is 112.

step 4 Write the fractions 4/7 and 7/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 7/16
= [(4 x 112)/(7 x 112)] - [(7 x 112)/(16 x 112)]

step 5 Simplify the expression to have common denominator:
= 64/112 - 49/112

step 6 Take the common values out and rewrite the above expression like the below:
= 1/112 x (64/1 - 49/1)
= 1/112 x (64 - 49)

step 7Simplify the above expression further:
= 1/112 x 15
= 15/112
4/7 - 7/16 = 15/112

Hence,
4/7 minus 7/16 as a fraction is 15/112.

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4/7 - 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 7/16

What to be found?
(4/7)-(7/16) = ?
Find what's the difference between 4/7 and 7/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 16), 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 16) and rewrite the equation as like the below:
= (4 x 16) - (7 x 7)/(7 x 16)

step 3 Simplify and rewrite the fraction:
= (64 - 49)/112
4/7 - 7/16 = 15/112

Hence,
4/7 minus 7/16 in fraction is 15/112