13/5 - 11/18 as a fraction

Learn how to find what is 13/5 minus 11/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 - 11/18 as a fraction and decimal.

Summary: 13/5 minus 11/18 = 179/90
Since both fractions have unequal denominators, 13/5 minus 11/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 11/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 18. 90 is the LCM of 5 and 18. Multiplying the LCM 90 with the numerators and denominators of both fractions (13/5 x 90/90) - (11/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 234/90 and for 11/18 is 55/90. By simplifying this fraction subtraction 234/90 - 55/90, it becomes 179/90.

CALCULATION: 13/5 - 11/18 as a fraction
13/5 - 11/18 = (?)
13/5 - 11/18 = [(13 x 18) - (11 x 5)]/(5 x 18)
= (234 - 55)/90
= 179/90
13/5 - 11/18 = 179/90
13/5 minus 11/18 as a fraction is 179/90.

where
13/5 is a improper fraction as a minuend,
11/18 is a proper fraction as a subtrahend,
179/90 is the difference between 13/5 and 11/18.

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13/5 minus 11/18 as a decimal
13/5 - 11/18 = 179/90
179/90 = 1.9889
(13/5) - (11/18) as a decimal is 1.9889

where
1.9889 is the difference between 13/5 and 11/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/18 from 13/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/5 minus 11/18.
1. LCM method
2. Cross multiplication method.

(13/5) - (11/18) using LCM Method:
What is 13/5 minus 11/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 11/18

What to be found?
(13/5) - (11/18) = ?
Find what's the difference between 13/5 and 11/18.

step 2 Compare the denominators of fractions 13/5 and 11/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/5 and 11/18 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 13/5 and 11/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 13/5 and 11/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 - 11/18
= [(13 x 90)/(5 x 90)] - [(11 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 234/90 - 55/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (234/1 - 55/1)
= 1/90 x (234 - 55)

step 7Simplify the above expression further:
= 1/90 x 179
= 179/90
13/5 - 11/18 = 179/90

Hence,
13/5 minus 11/18 as a fraction is 179/90.

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13/5 - 11/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 11/18

What to be found?
(13/5)-(11/18) = ?
Find what's the difference between 13/5 and 11/18.

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 (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 18) and rewrite the equation as like the below:
= (13 x 18) - (11 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (234 - 55)/90
13/5 - 11/18 = 179/90

Hence,
13/5 minus 11/18 in fraction is 179/90