3/7 - 3/20 as a fraction

Learn how to find what is 3/7 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 3/20 as a fraction and decimal.

Summary: 3/7 minus 3/20 = 39/140
Since both fractions have unequal denominators, 3/7 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 20. 140 is the LCM of 7 and 20. Multiplying the LCM 140 with the numerators and denominators of both fractions (3/7 x 140/140) - (3/20 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 60/140 and for 3/20 is 21/140. By simplifying this fraction subtraction 60/140 - 21/140, it becomes 39/140.

Pie Chart Representation: 3/7 - 3/20 = 39/140

CALCULATION: 3/7 - 3/20 as a fraction
3/7 - 3/20 = (?)
3/7 - 3/20 = [(3 x 20) - (3 x 7)]/(7 x 20)
= (60 - 21)/140
= 39/140
3/7 - 3/20 = 39/140
3/7 minus 3/20 as a fraction is 39/140.

where
3/7 is a proper fraction as a minuend,
3/20 is a proper fraction as a subtrahend,
39/140 is the difference between 3/7 and 3/20.

---

3/7 minus 3/20 as a decimal
3/7 - 3/20 = 39/140
39/140 = 0.2786
(3/7) - (3/20) as a decimal is 0.2786

where
0.2786 is the difference between 3/7 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 3/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/7 minus 3/20.
1. LCM method
2. Cross multiplication method.

(3/7) - (3/20) using LCM Method:
What is 3/7 minus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/20

What to be found?
(3/7) - (3/20) = ?
Find what's the difference between 3/7 and 3/20.

step 2 Compare the denominators of fractions 3/7 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 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 3/7 and 3/20:
The LCM of 7 and 20 is 140.

step 4 Write the fractions 3/7 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 - 3/20
= [(3 x 140)/(7 x 140)] - [(3 x 140)/(20 x 140)]

step 5 Simplify the expression to have common denominator:
= 60/140 - 21/140

step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (60/1 - 21/1)
= 1/140 x (60 - 21)

step 7Simplify the above expression further:
= 1/140 x 39
= 39/140
3/7 - 3/20 = 39/140

Hence,
3/7 minus 3/20 as a fraction is 39/140.

---

3/7 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/20

What to be found?
(3/7)-(3/20) = ?
Find what's the difference between 3/7 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 20) and rewrite the equation as like the below:
= (3 x 20) - (3 x 7)/(7 x 20)

step 3 Simplify and rewrite the fraction:
= (60 - 21)/140
3/7 - 3/20 = 39/140

Hence,
3/7 minus 3/20 in fraction is 39/140