13/7 - 5/16 as a fraction

Learn how to find what is 13/7 minus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/7 - 5/16 as a fraction and decimal.

Summary: 13/7 minus 5/16 = 173/112
Since both fractions have unequal denominators, 13/7 minus 5/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/7 and fraction 5/16 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 (13/7 x 112/112) - (5/16 x 112/112), and simplify further in order to have the common denominator. So the equivalent fraction for 13/7 is 208/112 and for 5/16 is 35/112. By simplifying this fraction subtraction 208/112 - 35/112, it becomes 173/112.

CALCULATION: 13/7 - 5/16 as a fraction
13/7 - 5/16 = (?)
13/7 - 5/16 = [(13 x 16) - (5 x 7)]/(7 x 16)
= (208 - 35)/112
= 173/112
13/7 - 5/16 = 173/112
13/7 minus 5/16 as a fraction is 173/112.

where
13/7 is a improper fraction as a minuend,
5/16 is a proper fraction as a subtrahend,
173/112 is the difference between 13/7 and 5/16.

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13/7 minus 5/16 as a decimal
13/7 - 5/16 = 173/112
173/112 = 1.5446
(13/7) - (5/16) as a decimal is 1.5446

where
1.5446 is the difference between 13/7 and 5/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/16 from 13/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/7 minus 5/16.
1. LCM method
2. Cross multiplication method.

(13/7) - (5/16) using LCM Method:
What is 13/7 minus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 5/16

What to be found?
(13/7) - (5/16) = ?
Find what's the difference between 13/7 and 5/16.

step 2 Compare the denominators of fractions 13/7 and 5/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/7 and 5/16 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 13/7 and 5/16:
The LCM of 7 and 16 is 112.

step 4 Write the fractions 13/7 and 5/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/7 - 5/16
= [(13 x 112)/(7 x 112)] - [(5 x 112)/(16 x 112)]

step 5 Simplify the expression to have common denominator:
= 208/112 - 35/112

step 6 Take the common values out and rewrite the above expression like the below:
= 1/112 x (208/1 - 35/1)
= 1/112 x (208 - 35)

step 7Simplify the above expression further:
= 1/112 x 173
= 173/112
13/7 - 5/16 = 173/112

Hence,
13/7 minus 5/16 as a fraction is 173/112.

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13/7 - 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 5/16

What to be found?
(13/7)-(5/16) = ?
Find what's the difference between 13/7 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (13 x 16) - (5 x 7)/(7 x 16)

step 3 Simplify and rewrite the fraction:
= (208 - 35)/112
13/7 - 5/16 = 173/112

Hence,
13/7 minus 5/16 in fraction is 173/112