13/8 - 16/17 as a fraction

Learn how to find what is 13/8 minus 16/17 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 16/17 as a fraction and decimal.

Summary: 13/8 minus 16/17 = 93/136
Since both fractions have unequal denominators, 13/8 minus 16/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 16/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (13/8 x 136/136) - (16/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 221/136 and for 16/17 is 128/136. By simplifying this fraction subtraction 221/136 - 128/136, it becomes 93/136.

Pie Chart Representation: 13/8 - 16/17 = 93/136

CALCULATION: 13/8 - 16/17 as a fraction
13/8 - 16/17 = (?)
13/8 - 16/17 = [(13 x 17) - (16 x 8)]/(8 x 17)
= (221 - 128)/136
= 93/136
13/8 - 16/17 = 93/136
13/8 minus 16/17 as a fraction is 93/136.

where
13/8 is a improper fraction as a minuend,
16/17 is a proper fraction as a subtrahend,
93/136 is the difference between 13/8 and 16/17.

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13/8 minus 16/17 as a decimal
13/8 - 16/17 = 93/136
93/136 = 0.6838
(13/8) - (16/17) as a decimal is 0.6838

where
0.6838 is the difference between 13/8 and 16/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/17 from 13/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/8 minus 16/17.
1. LCM method
2. Cross multiplication method.

(13/8) - (16/17) using LCM Method:
What is 13/8 minus 16/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 16/17

What to be found?
(13/8) - (16/17) = ?
Find what's the difference between 13/8 and 16/17.

step 2 Compare the denominators of fractions 13/8 and 16/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 16/17 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 13/8 and 16/17:
The LCM of 8 and 17 is 136.

step 4 Write the fractions 13/8 and 16/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 16/17
= [(13 x 136)/(8 x 136)] - [(16 x 136)/(17 x 136)]

step 5 Simplify the expression to have common denominator:
= 221/136 - 128/136

step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (221/1 - 128/1)
= 1/136 x (221 - 128)

step 7Simplify the above expression further:
= 1/136 x 93
= 93/136
13/8 - 16/17 = 93/136

Hence,
13/8 minus 16/17 as a fraction is 93/136.

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13/8 - 16/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 16/17

What to be found?
(13/8)-(16/17) = ?
Find what's the difference between 13/8 and 16/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 17), find the product of numerator of Fraction B and denominator of Fraction A (16 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 17) and rewrite the equation as like the below:
= (13 x 17) - (16 x 8)/(8 x 17)

step 3 Simplify and rewrite the fraction:
= (221 - 128)/136
13/8 - 16/17 = 93/136

Hence,
13/8 minus 16/17 in fraction is 93/136