5/9 - 13/14 as a fraction

Learn how to find what is 5/9 minus 13/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 13/14 as a fraction and decimal.

Summary: 5/9 minus 13/14 = -47/126
Since both fractions have unequal denominators, 5/9 minus 13/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 13/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 14. 126 is the LCM of 9 and 14. Multiplying the LCM 126 with the numerators and denominators of both fractions (5/9 x 126/126) - (13/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 70/126 and for 13/14 is 117/126. By simplifying this fraction subtraction 70/126 - 117/126, it becomes -47/126.

CALCULATION: 5/9 - 13/14 as a fraction
5/9 - 13/14 = (?)
5/9 - 13/14 = [(5 x 14) - (13 x 9)]/(9 x 14)
= (70 - 117)/126
= -47/126
5/9 - 13/14 = -47/126
5/9 minus 13/14 as a fraction is -47/126.

where
5/9 is a proper fraction as a minuend,
13/14 is a proper fraction as a subtrahend,
-47/126 is the difference between 5/9 and 13/14.

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5/9 minus 13/14 as a decimal
5/9 - 13/14 = -47/126
-47/126 = -0.373
(5/9) - (13/14) as a decimal is -0.373

where
-0.373 is the difference between 5/9 and 13/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/14 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 13/14.
1. LCM method
2. Cross multiplication method.

(5/9) - (13/14) using LCM Method:
What is 5/9 minus 13/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 13/14

What to be found?
(5/9) - (13/14) = ?
Find what's the difference between 5/9 and 13/14.

step 2 Compare the denominators of fractions 5/9 and 13/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 13/14 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 5/9 and 13/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 5/9 and 13/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 - 13/14
= [(5 x 126)/(9 x 126)] - [(13 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 70/126 - 117/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (70/1 - 117/1)
= 1/126 x (70 - 117)

step 7Simplify the above expression further:
= 1/126 x -47
= -47/126
5/9 - 13/14 = -47/126

Hence,
5/9 minus 13/14 as a fraction is -47/126.

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5/9 - 13/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 13/14

What to be found?
(5/9)-(13/14) = ?
Find what's the difference between 5/9 and 13/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), find the product of numerator of Fraction B and denominator of Fraction A (13 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 14) and rewrite the equation as like the below:
= (5 x 14) - (13 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (70 - 117)/126
5/9 - 13/14 = -47/126

Hence,
5/9 minus 13/14 in fraction is -47/126