2/3 - 3/20 as a fraction

Learn how to find what is 2/3 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 3/20 as a fraction and decimal.

Summary: 2/3 minus 3/20 = 31/60
Since both fractions have unequal denominators, 2/3 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 20. 60 is the LCM of 3 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (2/3 x 60/60) - (3/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 40/60 and for 3/20 is 9/60. By simplifying this fraction subtraction 40/60 - 9/60, it becomes 31/60.

Pie Chart Representation: 2/3 - 3/20 = 31/60

CALCULATION: 2/3 - 3/20 as a fraction
2/3 - 3/20 = (?)
2/3 - 3/20 = [(2 x 20) - (3 x 3)]/(3 x 20)
= (40 - 9)/60
= 31/60
2/3 - 3/20 = 31/60
2/3 minus 3/20 as a fraction is 31/60.

where
2/3 is a proper fraction as a minuend,
3/20 is a proper fraction as a subtrahend,
31/60 is the difference between 2/3 and 3/20.

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2/3 minus 3/20 as a decimal
2/3 - 3/20 = 31/60
31/60 = 0.5167
(2/3) - (3/20) as a decimal is 0.5167

where
0.5167 is the difference between 2/3 and 3/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/20 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 3/20.
1. LCM method
2. Cross multiplication method.

(2/3) - (3/20) using LCM Method:
What is 2/3 minus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/20

What to be found?
(2/3) - (3/20) = ?
Find what's the difference between 2/3 and 3/20.

step 2 Compare the denominators of fractions 2/3 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 3/20 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 2/3 and 3/20:
The LCM of 3 and 20 is 60.

step 4 Write the fractions 2/3 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 3/20
= [(2 x 60)/(3 x 60)] - [(3 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 40/60 - 9/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (40/1 - 9/1)
= 1/60 x (40 - 9)

step 7Simplify the above expression further:
= 1/60 x 31
= 31/60
2/3 - 3/20 = 31/60

Hence,
2/3 minus 3/20 as a fraction is 31/60.

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2/3 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/20

What to be found?
(2/3)-(3/20) = ?
Find what's the difference between 2/3 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (2 x 20) - (3 x 3)/(3 x 20)

step 3 Simplify and rewrite the fraction:
= (40 - 9)/60
2/3 - 3/20 = 31/60

Hence,
2/3 minus 3/20 in fraction is 31/60