5/8 - 18/7 as a fraction

Learn how to find what is 5/8 minus 18/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 - 18/7 as a fraction and decimal.

Summary: 5/8 minus 18/7 = -109/56
Since both fractions have unequal denominators, 5/8 minus 18/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 18/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 7. 56 is the LCM of 8 and 7. Multiplying the LCM 56 with the numerators and denominators of both fractions (5/8 x 56/56) - (18/7 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 18/7 is 144/56. By simplifying this fraction subtraction 35/56 - 144/56, it becomes -109/56.

CALCULATION: 5/8 - 18/7 as a fraction
5/8 - 18/7 = (?)
5/8 - 18/7 = [(5 x 7) - (18 x 8)]/(8 x 7)
= (35 - 144)/56
= -109/56
5/8 - 18/7 = -109/56
5/8 minus 18/7 as a fraction is -109/56.

where
5/8 is a proper fraction as a minuend,
18/7 is a improper fraction as a subtrahend,
-109/56 is the difference between 5/8 and 18/7.

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5/8 minus 18/7 as a decimal
5/8 - 18/7 = -109/56
-109/56 = -1.9464
(5/8) - (18/7) as a decimal is -1.9464

where
-1.9464 is the difference between 5/8 and 18/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/7 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 18/7.
1. LCM method
2. Cross multiplication method.

(5/8) - (18/7) using LCM Method:
What is 5/8 minus 18/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 18/7

What to be found?
(5/8) - (18/7) = ?
Find what's the difference between 5/8 and 18/7.

step 2 Compare the denominators of fractions 5/8 and 18/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 18/7 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 18/7:
The LCM of 8 and 7 is 56.

step 4 Write the fractions 5/8 and 18/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 - 18/7
= [(5 x 56)/(8 x 56)] - [(18 x 56)/(7 x 56)]

step 5 Simplify the expression to have common denominator:
= 35/56 - 144/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (35/1 - 144/1)
= 1/56 x (35 - 144)

step 7Simplify the above expression further:
= 1/56 x -109
= -109/56
5/8 - 18/7 = -109/56

Hence,
5/8 minus 18/7 as a fraction is -109/56.

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5/8 - 18/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 18/7

What to be found?
(5/8)-(18/7) = ?
Find what's the difference between 5/8 and 18/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (18 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (5 x 7) - (18 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (35 - 144)/56
5/8 - 18/7 = -109/56

Hence,
5/8 minus 18/7 in fraction is -109/56