1/3 - 2/49 as a fraction

Learn how to find what is 1/3 minus 2/49 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/49 as a fraction and decimal.

Summary: 1/3 minus 2/49 = 43/147
Since both fractions have unequal denominators, 1/3 minus 2/49 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/49 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 49. 147 is the LCM of 3 and 49. Multiplying the LCM 147 with the numerators and denominators of both fractions (1/3 x 147/147) - (2/49 x 147/147), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 49/147 and for 2/49 is 6/147. By simplifying this fraction subtraction 49/147 - 6/147, it becomes 43/147.

Pie Chart Representation: 1/3 - 2/49 = 43/147

CALCULATION: 1/3 - 2/49 as a fraction
1/3 - 2/49 = (?)
1/3 - 2/49 = [(1 x 49) - (2 x 3)]/(3 x 49)
= (49 - 6)/147
= 43/147
1/3 - 2/49 = 43/147
1/3 minus 2/49 as a fraction is 43/147.

where
1/3 is a proper fraction as a minuend,
2/49 is a proper fraction as a subtrahend,
43/147 is the difference between 1/3 and 2/49.

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1/3 minus 2/49 as a decimal
1/3 - 2/49 = 43/147
43/147 = 0.2925
(1/3) - (2/49) as a decimal is 0.2925

where
0.2925 is the difference between 1/3 and 2/49.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/49 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/49.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/49) using LCM Method:
What is 1/3 minus 2/49 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/49

What to be found?
(1/3) - (2/49) = ?
Find what's the difference between 1/3 and 2/49.

step 2 Compare the denominators of fractions 1/3 and 2/49 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/49 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 1/3 and 2/49:
The LCM of 3 and 49 is 147.

step 4 Write the fractions 1/3 and 2/49 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/49
= [(1 x 147)/(3 x 147)] - [(2 x 147)/(49 x 147)]

step 5 Simplify the expression to have common denominator:
= 49/147 - 6/147

step 6 Take the common values out and rewrite the above expression like the below:
= 1/147 x (49/1 - 6/1)
= 1/147 x (49 - 6)

step 7Simplify the above expression further:
= 1/147 x 43
= 43/147
1/3 - 2/49 = 43/147

Hence,
1/3 minus 2/49 as a fraction is 43/147.

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1/3 - 2/49 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/49

What to be found?
(1/3)-(2/49) = ?
Find what's the difference between 1/3 and 2/49.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 49), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 49) and rewrite the equation as like the below:
= (1 x 49) - (2 x 3)/(3 x 49)

step 3 Simplify and rewrite the fraction:
= (49 - 6)/147
1/3 - 2/49 = 43/147

Hence,
1/3 minus 2/49 in fraction is 43/147