15/8 - 12/17 as a fraction

Learn how to find what is 15/8 minus 12/17 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 - 12/17 as a fraction and decimal.

Summary: 15/8 minus 12/17 = 159/136
Since both fractions have unequal denominators, 15/8 minus 12/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 12/17 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 (15/8 x 136/136) - (12/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 255/136 and for 12/17 is 96/136. By simplifying this fraction subtraction 255/136 - 96/136, it becomes 159/136.

CALCULATION: 15/8 - 12/17 as a fraction
15/8 - 12/17 = (?)
15/8 - 12/17 = [(15 x 17) - (12 x 8)]/(8 x 17)
= (255 - 96)/136
= 159/136
15/8 - 12/17 = 159/136
15/8 minus 12/17 as a fraction is 159/136.

where
15/8 is a improper fraction as a minuend,
12/17 is a proper fraction as a subtrahend,
159/136 is the difference between 15/8 and 12/17.

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15/8 minus 12/17 as a decimal
15/8 - 12/17 = 159/136
159/136 = 1.1691
(15/8) - (12/17) as a decimal is 1.1691

where
1.1691 is the difference between 15/8 and 12/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/17 from 15/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/8 minus 12/17.
1. LCM method
2. Cross multiplication method.

(15/8) - (12/17) using LCM Method:
What is 15/8 minus 12/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 12/17

What to be found?
(15/8) - (12/17) = ?
Find what's the difference between 15/8 and 12/17.

step 2 Compare the denominators of fractions 15/8 and 12/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/8 and 12/17 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 15/8 and 12/17:
The LCM of 8 and 17 is 136.

step 4 Write the fractions 15/8 and 12/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 - 12/17
= [(15 x 136)/(8 x 136)] - [(12 x 136)/(17 x 136)]

step 5 Simplify the expression to have common denominator:
= 255/136 - 96/136

step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (255/1 - 96/1)
= 1/136 x (255 - 96)

step 7Simplify the above expression further:
= 1/136 x 159
= 159/136
15/8 - 12/17 = 159/136

Hence,
15/8 minus 12/17 as a fraction is 159/136.

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15/8 - 12/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 12/17

What to be found?
(15/8)-(12/17) = ?
Find what's the difference between 15/8 and 12/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 17), find the product of numerator of Fraction B and denominator of Fraction A (12 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:
= (15 x 17) - (12 x 8)/(8 x 17)

step 3 Simplify and rewrite the fraction:
= (255 - 96)/136
15/8 - 12/17 = 159/136

Hence,
15/8 minus 12/17 in fraction is 159/136