13/16 - 5/18 as a fraction

Learn how to find what is 13/16 minus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/16 - 5/18 as a fraction and decimal.

Summary: 13/16 minus 5/18 = 77/144
Since both fractions have unequal denominators, 13/16 minus 5/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/16 and fraction 5/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 16 and 18. 144 is the LCM of 16 and 18. Multiplying the LCM 144 with the numerators and denominators of both fractions (13/16 x 144/144) - (5/18 x 144/144), and simplify further in order to have the common denominator. So the equivalent fraction for 13/16 is 117/144 and for 5/18 is 40/144. By simplifying this fraction subtraction 117/144 - 40/144, it becomes 77/144.

Pie Chart Representation: 13/16 - 5/18 = 77/144

CALCULATION: 13/16 - 5/18 as a fraction
13/16 - 5/18 = (?)
13/16 - 5/18 = [(13 x 18) - (5 x 16)]/(16 x 18)
= (234 - 80)/288
= 154/288
= (2 x 77)/(2 x 144)
= 77/144
13/16 - 5/18 = 77/144
13/16 minus 5/18 as a fraction is 77/144.

where
13/16 is a proper fraction as a minuend,
5/18 is a proper fraction as a subtrahend,
77/144 is the difference between 13/16 and 5/18.

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13/16 minus 5/18 as a decimal
13/16 - 5/18 = 77/144
77/144 = 0.5347
(13/16) - (5/18) as a decimal is 0.5347

where
0.5347 is the difference between 13/16 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 13/16. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/16 minus 5/18.
1. LCM method
2. Cross multiplication method.

(13/16) - (5/18) using LCM Method:
What is 13/16 minus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/16
Fraction B: 5/18

What to be found?
(13/16) - (5/18) = ?
Find what's the difference between 13/16 and 5/18.

step 2 Compare the denominators of fractions 13/16 and 5/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/16 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 13/16 and 5/18:
The LCM of 16 and 18 is 144.

step 4 Write the fractions 13/16 and 5/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/16 - 5/18
= [(13 x 144)/(16 x 144)] - [(5 x 144)/(18 x 144)]

step 5 Simplify the expression to have common denominator:
= 117/144 - 40/144

step 6 Take the common values out and rewrite the above expression like the below:
= 1/144 x (117/1 - 40/1)
= 1/144 x (117 - 40)

step 7Simplify the above expression further:
= 1/144 x 77
= 77/144
13/16 - 5/18 = 77/144

Hence,
13/16 minus 5/18 as a fraction is 77/144.

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13/16 - 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/16
Fraction B: 5/18

What to be found?
(13/16)-(5/18) = ?
Find what's the difference between 13/16 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 16), and find the product of both denominators of Fraction A and Fraction B (16 x 18) and rewrite the equation as like the below:
= (13 x 18) - (5 x 16)/(16 x 18)

step 3 Simplify and rewrite the fraction:
= (234 - 80)/288
= 154/288
= 77/144
13/16 - 5/18 = 77/144

Hence,
13/16 minus 5/18 in fraction is 77/144