What is 2/7 - 1/20 in fraction?
2/7 - 1/20 equals to 33/140 in fraction form.
Learn how to find what is 2/7 minus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/20 as a fraction and decimal.
Summary: 2/7 minus 1/20 = 33/140
Since both fractions have unequal denominators, 2/7 minus 1/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/20 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 (2/7 x 140/140) - (1/20 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 40/140 and for 1/20 is 7/140. By simplifying this fraction subtraction 40/140 - 7/140, it becomes 33/140.
Pie Chart Representation: 2/7 - 1/20 = 33/140
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/20 from 2/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/7 minus 1/20.
1. LCM method
2. Cross multiplication method.
(2/7) - (1/20) using LCM Method:
What is 2/7 minus 1/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/20
What to be found?
(2/7) - (1/20) = ?
Find what's the difference between 2/7 and 1/20.
step 2 Compare the denominators of fractions 2/7 and 1/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/20 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 2/7 and 1/20:
The LCM of 7 and 20 is 140.
step 4 Write the fractions 2/7 and 1/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/20
= [(2 x 140)/(7 x 140)] - [(1 x 140)/(20 x 140)]
step 5 Simplify the expression to have common denominator:
= 40/140 - 7/140
step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (40/1 - 7/1)
= 1/140 x (40 - 7)
step 7Simplify the above expression further:
= 1/140 x 33
= 33/140
2/7 - 1/20 = 33/140
Hence,
2/7 minus 1/20 as a fraction is 33/140.
2/7 - 1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/20
What to be found?
(2/7)-(1/20) = ?
Find what's the difference between 2/7 and 1/20.
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 (1 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:
= (2 x 20) - (1 x 7)/(7 x 20)
step 3 Simplify and rewrite the fraction:
= (40 - 7)/140
2/7 - 1/20 = 33/140
Hence,
2/7 minus 1/20 in fraction is 33/140