5/9 - 1/10 as a fraction

Learn how to find what is 5/9 minus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 1/10 as a fraction and decimal.

Summary: 5/9 minus 1/10 = 41/90
Since both fractions have unequal denominators, 5/9 minus 1/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 1/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 10. 90 is the LCM of 9 and 10. Multiplying the LCM 90 with the numerators and denominators of both fractions (5/9 x 90/90) - (1/10 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 50/90 and for 1/10 is 9/90. By simplifying this fraction subtraction 50/90 - 9/90, it becomes 41/90.

Pie Chart Representation: 5/9 - 1/10 = 41/90

CALCULATION: 5/9 - 1/10 as a fraction
5/9 - 1/10 = (?)
5/9 - 1/10 = [(5 x 10) - (1 x 9)]/(9 x 10)
= (50 - 9)/90
= 41/90
5/9 - 1/10 = 41/90
5/9 minus 1/10 as a fraction is 41/90.

where
5/9 is a proper fraction as a minuend,
1/10 is a proper fraction as a subtrahend,
41/90 is the difference between 5/9 and 1/10.

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5/9 minus 1/10 as a decimal
5/9 - 1/10 = 41/90
41/90 = 0.4556
(5/9) - (1/10) as a decimal is 0.4556

where
0.4556 is the difference between 5/9 and 1/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/10 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 1/10.
1. LCM method
2. Cross multiplication method.

(5/9) - (1/10) using LCM Method:
What is 5/9 minus 1/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/10

What to be found?
(5/9) - (1/10) = ?
Find what's the difference between 5/9 and 1/10.

step 2 Compare the denominators of fractions 5/9 and 1/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 1/10 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 1/10:
The LCM of 9 and 10 is 90.

step 4 Write the fractions 5/9 and 1/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 - 1/10
= [(5 x 90)/(9 x 90)] - [(1 x 90)/(10 x 90)]

step 5 Simplify the expression to have common denominator:
= 50/90 - 9/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (50/1 - 9/1)
= 1/90 x (50 - 9)

step 7Simplify the above expression further:
= 1/90 x 41
= 41/90
5/9 - 1/10 = 41/90

Hence,
5/9 minus 1/10 as a fraction is 41/90.

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5/9 - 1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/10

What to be found?
(5/9)-(1/10) = ?
Find what's the difference between 5/9 and 1/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), 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 10) and rewrite the equation as like the below:
= (5 x 10) - (1 x 9)/(9 x 10)

step 3 Simplify and rewrite the fraction:
= (50 - 9)/90
5/9 - 1/10 = 41/90

Hence,
5/9 minus 1/10 in fraction is 41/90