2/5 - 1/22 as a fraction

Learn how to find what is 2/5 minus 1/22 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 1/22 as a fraction and decimal.

Summary: 2/5 minus 1/22 = 39/110
Since both fractions have unequal denominators, 2/5 minus 1/22 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/22 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 22. 110 is the LCM of 5 and 22. Multiplying the LCM 110 with the numerators and denominators of both fractions (2/5 x 110/110) - (1/22 x 110/110), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 44/110 and for 1/22 is 5/110. By simplifying this fraction subtraction 44/110 - 5/110, it becomes 39/110.

Pie Chart Representation: 2/5 - 1/22 = 39/110

CALCULATION: 2/5 - 1/22 as a fraction
2/5 - 1/22 = (?)
2/5 - 1/22 = [(2 x 22) - (1 x 5)]/(5 x 22)
= (44 - 5)/110
= 39/110
2/5 - 1/22 = 39/110
2/5 minus 1/22 as a fraction is 39/110.

where
2/5 is a proper fraction as a minuend,
1/22 is a proper fraction as a subtrahend,
39/110 is the difference between 2/5 and 1/22.

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2/5 minus 1/22 as a decimal
2/5 - 1/22 = 39/110
39/110 = 0.3545
(2/5) - (1/22) as a decimal is 0.3545

where
0.3545 is the difference between 2/5 and 1/22.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/22 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 1/22.
1. LCM method
2. Cross multiplication method.

(2/5) - (1/22) using LCM Method:
What is 2/5 minus 1/22 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/22

What to be found?
(2/5) - (1/22) = ?
Find what's the difference between 2/5 and 1/22.

step 2 Compare the denominators of fractions 2/5 and 1/22 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 1/22 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 2/5 and 1/22:
The LCM of 5 and 22 is 110.

step 4 Write the fractions 2/5 and 1/22 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 1/22
= [(2 x 110)/(5 x 110)] - [(1 x 110)/(22 x 110)]

step 5 Simplify the expression to have common denominator:
= 44/110 - 5/110

step 6 Take the common values out and rewrite the above expression like the below:
= 1/110 x (44/1 - 5/1)
= 1/110 x (44 - 5)

step 7Simplify the above expression further:
= 1/110 x 39
= 39/110
2/5 - 1/22 = 39/110

Hence,
2/5 minus 1/22 as a fraction is 39/110.

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2/5 - 1/22 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/22

What to be found?
(2/5)-(1/22) = ?
Find what's the difference between 2/5 and 1/22.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 22), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 22) and rewrite the equation as like the below:
= (2 x 22) - (1 x 5)/(5 x 22)

step 3 Simplify and rewrite the fraction:
= (44 - 5)/110
2/5 - 1/22 = 39/110

Hence,
2/5 minus 1/22 in fraction is 39/110