7/8 - 17/15 as a fraction

Learn how to find what is 7/8 minus 17/15 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 - 17/15 as a fraction and decimal.

Summary: 7/8 minus 17/15 = -31/120
Since both fractions have unequal denominators, 7/8 minus 17/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 17/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 15. 120 is the LCM of 8 and 15. Multiplying the LCM 120 with the numerators and denominators of both fractions (7/8 x 120/120) - (17/15 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 105/120 and for 17/15 is 136/120. By simplifying this fraction subtraction 105/120 - 136/120, it becomes -31/120.

CALCULATION: 7/8 - 17/15 as a fraction
7/8 - 17/15 = (?)
7/8 - 17/15 = [(7 x 15) - (17 x 8)]/(8 x 15)
= (105 - 136)/120
= -31/120
7/8 - 17/15 = -31/120
7/8 minus 17/15 as a fraction is -31/120.

where
7/8 is a proper fraction as a minuend,
17/15 is a improper fraction as a subtrahend,
-31/120 is the difference between 7/8 and 17/15.

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7/8 minus 17/15 as a decimal
7/8 - 17/15 = -31/120
-31/120 = -0.2583
(7/8) - (17/15) as a decimal is -0.2583

where
-0.2583 is the difference between 7/8 and 17/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/15 from 7/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/8 minus 17/15.
1. LCM method
2. Cross multiplication method.

(7/8) - (17/15) using LCM Method:
What is 7/8 minus 17/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 17/15

What to be found?
(7/8) - (17/15) = ?
Find what's the difference between 7/8 and 17/15.

step 2 Compare the denominators of fractions 7/8 and 17/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 17/15 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 7/8 and 17/15:
The LCM of 8 and 15 is 120.

step 4 Write the fractions 7/8 and 17/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 - 17/15
= [(7 x 120)/(8 x 120)] - [(17 x 120)/(15 x 120)]

step 5 Simplify the expression to have common denominator:
= 105/120 - 136/120

step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (105/1 - 136/1)
= 1/120 x (105 - 136)

step 7Simplify the above expression further:
= 1/120 x -31
= -31/120
7/8 - 17/15 = -31/120

Hence,
7/8 minus 17/15 as a fraction is -31/120.

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7/8 - 17/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 17/15

What to be found?
(7/8)-(17/15) = ?
Find what's the difference between 7/8 and 17/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 15), find the product of numerator of Fraction B and denominator of Fraction A (17 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 15) and rewrite the equation as like the below:
= (7 x 15) - (17 x 8)/(8 x 15)

step 3 Simplify and rewrite the fraction:
= (105 - 136)/120
7/8 - 17/15 = -31/120

Hence,
7/8 minus 17/15 in fraction is -31/120