5/9 - 1/6 as a fraction

Learn how to find what is 5/9 minus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 1/6 as a fraction and decimal.

Summary: 5/9 minus 1/6 = 7/18
Since both fractions have unequal denominators, 5/9 minus 1/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 6. 18 is the LCM of 9 and 6. Multiplying the LCM 18 with the numerators and denominators of both fractions (5/9 x 18/18) - (1/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 10/18 and for 1/6 is 3/18. By simplifying this fraction subtraction 10/18 - 3/18, it becomes 7/18.

Pie Chart Representation: 5/9 - 1/6 = 7/18

CALCULATION: 5/9 - 1/6 as a fraction
5/9 - 1/6 = (?)
5/9 - 1/6 = [(5 x 6) - (1 x 9)]/(9 x 6)
= (30 - 9)/54
= 21/54
= (3 x 7)/(3 x 18)
= 7/18
5/9 - 1/6 = 7/18
5/9 minus 1/6 as a fraction is 7/18.

where
5/9 is a proper fraction as a minuend,
1/6 is a proper fraction as a subtrahend,
7/18 is the difference between 5/9 and 1/6.

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5/9 minus 1/6 as a decimal
5/9 - 1/6 = 7/18
7/18 = 0.3889
(5/9) - (1/6) as a decimal is 0.3889

where
0.3889 is the difference between 5/9 and 1/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/6 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 1/6.
1. LCM method
2. Cross multiplication method.

(5/9) - (1/6) using LCM Method:
What is 5/9 minus 1/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/6

What to be found?
(5/9) - (1/6) = ?
Find what's the difference between 5/9 and 1/6.

step 2 Compare the denominators of fractions 5/9 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 1/6 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 1/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 5/9 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 - 1/6
= [(5 x 18)/(9 x 18)] - [(1 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 10/18 - 3/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (10/1 - 3/1)
= 1/18 x (10 - 3)

step 7Simplify the above expression further:
= 1/18 x 7
= 7/18
5/9 - 1/6 = 7/18

Hence,
5/9 minus 1/6 as a fraction is 7/18.

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5/9 - 1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/6

What to be found?
(5/9)-(1/6) = ?
Find what's the difference between 5/9 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (5 x 6) - (1 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (30 - 9)/54
= 21/54
= 7/18
5/9 - 1/6 = 7/18

Hence,
5/9 minus 1/6 in fraction is 7/18