13/8 - 5/18 as a fraction

Learn how to find what is 13/8 minus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 5/18 as a fraction and decimal.

Summary: 13/8 minus 5/18 = 97/72
Since both fractions have unequal denominators, 13/8 minus 5/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 18. 72 is the LCM of 8 and 18. Multiplying the LCM 72 with the numerators and denominators of both fractions (13/8 x 72/72) - (5/18 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 117/72 and for 5/18 is 20/72. By simplifying this fraction subtraction 117/72 - 20/72, it becomes 97/72.

CALCULATION: 13/8 - 5/18 as a fraction
13/8 - 5/18 = (?)
13/8 - 5/18 = [(13 x 18) - (5 x 8)]/(8 x 18)
= (234 - 40)/144
= 194/144
= (2 x 97)/(2 x 72)
= 97/72
13/8 - 5/18 = 97/72
13/8 minus 5/18 as a fraction is 97/72.

where
13/8 is a improper fraction as a minuend,
5/18 is a proper fraction as a subtrahend,
97/72 is the difference between 13/8 and 5/18.

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13/8 minus 5/18 as a decimal
13/8 - 5/18 = 97/72
97/72 = 1.3472
(13/8) - (5/18) as a decimal is 1.3472

where
1.3472 is the difference between 13/8 and 5/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/18 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 5/18.
1. LCM method
2. Cross multiplication method.

(13/8) - (5/18) using LCM Method:
What is 13/8 minus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/18

What to be found?
(13/8) - (5/18) = ?
Find what's the difference between 13/8 and 5/18.

step 2 Compare the denominators of fractions 13/8 and 5/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 5/18 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 5/18:
The LCM of 8 and 18 is 72.

step 4 Write the fractions 13/8 and 5/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 5/18
= [(13 x 72)/(8 x 72)] - [(5 x 72)/(18 x 72)]

step 5 Simplify the expression to have common denominator:
= 117/72 - 20/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (117/1 - 20/1)
= 1/72 x (117 - 20)

step 7Simplify the above expression further:
= 1/72 x 97
= 97/72
13/8 - 5/18 = 97/72

Hence,
13/8 minus 5/18 as a fraction is 97/72.

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13/8 - 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/18

What to be found?
(13/8)-(5/18) = ?
Find what's the difference between 13/8 and 5/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 18) and rewrite the equation as like the below:
= (13 x 18) - (5 x 8)/(8 x 18)

step 3 Simplify and rewrite the fraction:
= (234 - 40)/144
= 194/144
= 97/72
13/8 - 5/18 = 97/72

Hence,
13/8 minus 5/18 in fraction is 97/72