2/7 - 1/52 as a fraction

Learn how to find what is 2/7 minus 1/52 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/52 as a fraction and decimal.

Summary: 2/7 minus 1/52 = 97/364
Since both fractions have unequal denominators, 2/7 minus 1/52 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/52 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 52. 364 is the LCM of 7 and 52. Multiplying the LCM 364 with the numerators and denominators of both fractions (2/7 x 364/364) - (1/52 x 364/364), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 104/364 and for 1/52 is 7/364. By simplifying this fraction subtraction 104/364 - 7/364, it becomes 97/364.

Pie Chart Representation: 2/7 - 1/52 = 97/364

CALCULATION: 2/7 - 1/52 as a fraction
2/7 - 1/52 = (?)
2/7 - 1/52 = [(2 x 52) - (1 x 7)]/(7 x 52)
= (104 - 7)/364
= 97/364
2/7 - 1/52 = 97/364
2/7 minus 1/52 as a fraction is 97/364.

where
2/7 is a proper fraction as a minuend,
1/52 is a proper fraction as a subtrahend,
97/364 is the difference between 2/7 and 1/52.

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2/7 minus 1/52 as a decimal
2/7 - 1/52 = 97/364
97/364 = 0.2665
(2/7) - (1/52) as a decimal is 0.2665

where
0.2665 is the difference between 2/7 and 1/52.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/52 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 1/52.
1. LCM method
2. Cross multiplication method.

(2/7) - (1/52) using LCM Method:
What is 2/7 minus 1/52 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/52

What to be found?
(2/7) - (1/52) = ?
Find what's the difference between 2/7 and 1/52.

step 2 Compare the denominators of fractions 2/7 and 1/52 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/52 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 1/52:
The LCM of 7 and 52 is 364.

step 4 Write the fractions 2/7 and 1/52 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/52
= [(2 x 364)/(7 x 364)] - [(1 x 364)/(52 x 364)]

step 5 Simplify the expression to have common denominator:
= 104/364 - 7/364

step 6 Take the common values out and rewrite the above expression like the below:
= 1/364 x (104/1 - 7/1)
= 1/364 x (104 - 7)

step 7Simplify the above expression further:
= 1/364 x 97
= 97/364
2/7 - 1/52 = 97/364

Hence,
2/7 minus 1/52 as a fraction is 97/364.

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2/7 - 1/52 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/52

What to be found?
(2/7)-(1/52) = ?
Find what's the difference between 2/7 and 1/52.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 52), 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 52) and rewrite the equation as like the below:
= (2 x 52) - (1 x 7)/(7 x 52)

step 3 Simplify and rewrite the fraction:
= (104 - 7)/364
2/7 - 1/52 = 97/364

Hence,
2/7 minus 1/52 in fraction is 97/364