8/9 - 5/14 as a fraction

Learn how to find what is 8/9 minus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 - 5/14 as a fraction and decimal.

Summary: 8/9 minus 5/14 = 67/126
Since both fractions have unequal denominators, 8/9 minus 5/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 5/14 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 (8/9 x 126/126) - (5/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 112/126 and for 5/14 is 45/126. By simplifying this fraction subtraction 112/126 - 45/126, it becomes 67/126.

Pie Chart Representation: 8/9 - 5/14 = 67/126

CALCULATION: 8/9 - 5/14 as a fraction
8/9 - 5/14 = (?)
8/9 - 5/14 = [(8 x 14) - (5 x 9)]/(9 x 14)
= (112 - 45)/126
= 67/126
8/9 - 5/14 = 67/126
8/9 minus 5/14 as a fraction is 67/126.

where
8/9 is a proper fraction as a minuend,
5/14 is a proper fraction as a subtrahend,
67/126 is the difference between 8/9 and 5/14.

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8/9 minus 5/14 as a decimal
8/9 - 5/14 = 67/126
67/126 = 0.5317
(8/9) - (5/14) as a decimal is 0.5317

where
0.5317 is the difference between 8/9 and 5/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/14 from 8/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/9 minus 5/14.
1. LCM method
2. Cross multiplication method.

(8/9) - (5/14) using LCM Method:
What is 8/9 minus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 5/14

What to be found?
(8/9) - (5/14) = ?
Find what's the difference between 8/9 and 5/14.

step 2 Compare the denominators of fractions 8/9 and 5/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 5/14 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 8/9 and 5/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 8/9 and 5/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 - 5/14
= [(8 x 126)/(9 x 126)] - [(5 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 112/126 - 45/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (112/1 - 45/1)
= 1/126 x (112 - 45)

step 7Simplify the above expression further:
= 1/126 x 67
= 67/126
8/9 - 5/14 = 67/126

Hence,
8/9 minus 5/14 as a fraction is 67/126.

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8/9 - 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 5/14

What to be found?
(8/9)-(5/14) = ?
Find what's the difference between 8/9 and 5/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (8 x 14) - (5 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (112 - 45)/126
8/9 - 5/14 = 67/126

Hence,
8/9 minus 5/14 in fraction is 67/126