5/18 - 13/7 as a fraction

Learn how to find what is 5/18 minus 13/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/18 - 13/7 as a fraction and decimal.

Summary: 5/18 minus 13/7 = -199/126
Since both fractions have unequal denominators, 5/18 minus 13/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/18 and fraction 13/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 18 and 7. 126 is the LCM of 18 and 7. Multiplying the LCM 126 with the numerators and denominators of both fractions (5/18 x 126/126) - (13/7 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 5/18 is 35/126 and for 13/7 is 234/126. By simplifying this fraction subtraction 35/126 - 234/126, it becomes -199/126.

CALCULATION: 5/18 - 13/7 as a fraction
5/18 - 13/7 = (?)
5/18 - 13/7 = [(5 x 7) - (13 x 18)]/(18 x 7)
= (35 - 234)/126
= -199/126
5/18 - 13/7 = -199/126
5/18 minus 13/7 as a fraction is -199/126.

where
5/18 is a proper fraction as a minuend,
13/7 is a improper fraction as a subtrahend,
-199/126 is the difference between 5/18 and 13/7.

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5/18 minus 13/7 as a decimal
5/18 - 13/7 = -199/126
-199/126 = -1.5794
(5/18) - (13/7) as a decimal is -1.5794

where
-1.5794 is the difference between 5/18 and 13/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/7 from 5/18. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/18 minus 13/7.
1. LCM method
2. Cross multiplication method.

(5/18) - (13/7) using LCM Method:
What is 5/18 minus 13/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/18
Fraction B: 13/7

What to be found?
(5/18) - (13/7) = ?
Find what's the difference between 5/18 and 13/7.

step 2 Compare the denominators of fractions 5/18 and 13/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/18 and 13/7 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 5/18 and 13/7:
The LCM of 18 and 7 is 126.

step 4 Write the fractions 5/18 and 13/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/18 - 13/7
= [(5 x 126)/(18 x 126)] - [(13 x 126)/(7 x 126)]

step 5 Simplify the expression to have common denominator:
= 35/126 - 234/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (35/1 - 234/1)
= 1/126 x (35 - 234)

step 7Simplify the above expression further:
= 1/126 x -199
= -199/126
5/18 - 13/7 = -199/126

Hence,
5/18 minus 13/7 as a fraction is -199/126.

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5/18 - 13/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/18
Fraction B: 13/7

What to be found?
(5/18)-(13/7) = ?
Find what's the difference between 5/18 and 13/7.

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 (13 x 18), and find the product of both denominators of Fraction A and Fraction B (18 x 7) and rewrite the equation as like the below:
= (5 x 7) - (13 x 18)/(18 x 7)

step 3 Simplify and rewrite the fraction:
= (35 - 234)/126
5/18 - 13/7 = -199/126

Hence,
5/18 minus 13/7 in fraction is -199/126