2/5 - 1/21 as a fraction

Learn how to find what is 2/5 minus 1/21 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 1/21 as a fraction and decimal.

Summary: 2/5 minus 1/21 = 37/105
Since both fractions have unequal denominators, 2/5 minus 1/21 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 21. 105 is the LCM of 5 and 21. Multiplying the LCM 105 with the numerators and denominators of both fractions (2/5 x 105/105) - (1/21 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 42/105 and for 1/21 is 5/105. By simplifying this fraction subtraction 42/105 - 5/105, it becomes 37/105.

Pie Chart Representation: 2/5 - 1/21 = 37/105

CALCULATION: 2/5 - 1/21 as a fraction
2/5 - 1/21 = (?)
2/5 - 1/21 = [(2 x 21) - (1 x 5)]/(5 x 21)
= (42 - 5)/105
= 37/105
2/5 - 1/21 = 37/105
2/5 minus 1/21 as a fraction is 37/105.

where
2/5 is a proper fraction as a minuend,
1/21 is a proper fraction as a subtrahend,
37/105 is the difference between 2/5 and 1/21.

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2/5 minus 1/21 as a decimal
2/5 - 1/21 = 37/105
37/105 = 0.3524
(2/5) - (1/21) as a decimal is 0.3524

where
0.3524 is the difference between 2/5 and 1/21.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/21 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 1/21.
1. LCM method
2. Cross multiplication method.

(2/5) - (1/21) using LCM Method:
What is 2/5 minus 1/21 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/21

What to be found?
(2/5) - (1/21) = ?
Find what's the difference between 2/5 and 1/21.

step 2 Compare the denominators of fractions 2/5 and 1/21 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 1/21 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 1/21:
The LCM of 5 and 21 is 105.

step 4 Write the fractions 2/5 and 1/21 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 1/21
= [(2 x 105)/(5 x 105)] - [(1 x 105)/(21 x 105)]

step 5 Simplify the expression to have common denominator:
= 42/105 - 5/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (42/1 - 5/1)
= 1/105 x (42 - 5)

step 7Simplify the above expression further:
= 1/105 x 37
= 37/105
2/5 - 1/21 = 37/105

Hence,
2/5 minus 1/21 as a fraction is 37/105.

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2/5 - 1/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/21

What to be found?
(2/5)-(1/21) = ?
Find what's the difference between 2/5 and 1/21.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 21), 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 21) and rewrite the equation as like the below:
= (2 x 21) - (1 x 5)/(5 x 21)

step 3 Simplify and rewrite the fraction:
= (42 - 5)/105
2/5 - 1/21 = 37/105

Hence,
2/5 minus 1/21 in fraction is 37/105