5/8 - 11/14 as a fraction

Learn how to find what is 5/8 minus 11/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 - 11/14 as a fraction and decimal.

Summary: 5/8 minus 11/14 = -9/56
Since both fractions have unequal denominators, 5/8 minus 11/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 11/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 14. 56 is the LCM of 8 and 14. Multiplying the LCM 56 with the numerators and denominators of both fractions (5/8 x 56/56) - (11/14 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 35/56 and for 11/14 is 44/56. By simplifying this fraction subtraction 35/56 - 44/56, it becomes -9/56.

CALCULATION: 5/8 - 11/14 as a fraction
5/8 - 11/14 = (?)
5/8 - 11/14 = [(5 x 14) - (11 x 8)]/(8 x 14)
= (70 - 88)/112
= -18/112
= (2 x -9)/(2 x 56)
= -9/56
5/8 - 11/14 = -9/56
5/8 minus 11/14 as a fraction is -9/56.

where
5/8 is a proper fraction as a minuend,
11/14 is a proper fraction as a subtrahend,
-9/56 is the difference between 5/8 and 11/14.

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5/8 minus 11/14 as a decimal
5/8 - 11/14 = -9/56
-9/56 = -0.1607
(5/8) - (11/14) as a decimal is -0.1607

where
-0.1607 is the difference between 5/8 and 11/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/14 from 5/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/8 minus 11/14.
1. LCM method
2. Cross multiplication method.

(5/8) - (11/14) using LCM Method:
What is 5/8 minus 11/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 11/14

What to be found?
(5/8) - (11/14) = ?
Find what's the difference between 5/8 and 11/14.

step 2 Compare the denominators of fractions 5/8 and 11/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 11/14 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 5/8 and 11/14:
The LCM of 8 and 14 is 56.

step 4 Write the fractions 5/8 and 11/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 11/14
= [(5 x 56)/(8 x 56)] - [(11 x 56)/(14 x 56)]

step 5 Simplify the expression to have common denominator:
= 35/56 - 44/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (35/1 - 44/1)
= 1/56 x (35 - 44)

step 7Simplify the above expression further:
= 1/56 x -9
= -9/56
5/8 - 11/14 = -9/56

Hence,
5/8 minus 11/14 as a fraction is -9/56.

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5/8 - 11/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 11/14

What to be found?
(5/8)-(11/14) = ?
Find what's the difference between 5/8 and 11/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), find the product of numerator of Fraction B and denominator of Fraction A (11 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 14) and rewrite the equation as like the below:
= (5 x 14) - (11 x 8)/(8 x 14)

step 3 Simplify and rewrite the fraction:
= (70 - 88)/112
= -18/112
= -9/56
5/8 - 11/14 = -9/56

Hence,
5/8 minus 11/14 in fraction is -9/56