2/7 - 1/49 as a fraction

Learn how to find what is 2/7 minus 1/49 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/49 as a fraction and decimal.

Summary: 2/7 minus 1/49 = 13/49
Since both fractions have unequal denominators, 2/7 minus 1/49 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/49 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 49. 49 is the LCM of 7 and 49. Multiplying the LCM 49 with the numerators and denominators of both fractions (2/7 x 49/49) - (1/49 x 49/49), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 14/49 and for 1/49 is 1/49. By simplifying this fraction subtraction 14/49 - 1/49, it becomes 13/49.

Pie Chart Representation: 2/7 - 1/49 = 13/49

CALCULATION: 2/7 - 1/49 as a fraction
2/7 - 1/49 = (?)
2/7 - 1/49 = [(2 x 49) - (1 x 7)]/(7 x 49)
= (98 - 7)/343
= 91/343
= (7 x 13)/(7 x 49)
= 13/49
2/7 - 1/49 = 13/49
2/7 minus 1/49 as a fraction is 13/49.

where
2/7 is a proper fraction as a minuend,
1/49 is a proper fraction as a subtrahend,
13/49 is the difference between 2/7 and 1/49.

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2/7 minus 1/49 as a decimal
2/7 - 1/49 = 13/49
13/49 = 0.2653
(2/7) - (1/49) as a decimal is 0.2653

where
0.2653 is the difference between 2/7 and 1/49.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/49 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 1/49.
1. LCM method
2. Cross multiplication method.

(2/7) - (1/49) using LCM Method:
What is 2/7 minus 1/49 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/49

What to be found?
(2/7) - (1/49) = ?
Find what's the difference between 2/7 and 1/49.

step 2 Compare the denominators of fractions 2/7 and 1/49 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/49 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 1/49:
The LCM of 7 and 49 is 49.

step 4 Write the fractions 2/7 and 1/49 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/49
= [(2 x 49)/(7 x 49)] - [(1 x 49)/(49 x 49)]

step 5 Simplify the expression to have common denominator:
= 14/49 - 1/49

step 6 Take the common values out and rewrite the above expression like the below:
= 1/49 x (14/1 - 1/1)
= 1/49 x (14 - 1)

step 7Simplify the above expression further:
= 1/49 x 13
= 13/49
2/7 - 1/49 = 13/49

Hence,
2/7 minus 1/49 as a fraction is 13/49.

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2/7 - 1/49 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/49

What to be found?
(2/7)-(1/49) = ?
Find what's the difference between 2/7 and 1/49.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 49), 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 49) and rewrite the equation as like the below:
= (2 x 49) - (1 x 7)/(7 x 49)

step 3 Simplify and rewrite the fraction:
= (98 - 7)/343
= 91/343
= 13/49
2/7 - 1/49 = 13/49

Hence,
2/7 minus 1/49 in fraction is 13/49