2/5 + 1/49 as a fraction

Learn how to find what is 2/5 plus 1/49 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/49 as a fraction and decimal.

Summary: 2/5 plus 1/49 = 103/245
Since both fractions have unequal denominators, 2/5 plus 1/49 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/49 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 49. 245 is the LCM of 5 and 49. Multiplying the LCM 245 with the numerators and denominators of both fractions (2/5 x 245/245) + (1/49 x 245/245), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 98/245 and for 1/49 is 5/245. By simplifying this fraction addition 98/245 + 5/245, it becomes 103/245.

Pie Chart Representation: 2/5 + 1/49 = 103/245

CALCULATION: 2/5 + 1/49 as a fraction
2/5 + 1/49 = (?)
2/5 + 1/49 = [(2 x 49) + (1 x 5)]/(5 x 49)
= (98 + 5)/245
= 103/245
2/5 + 1/49 = 103/245
2/5 plus 1/49 as a fraction is 103/245.

where
2/5 is a proper fraction as an addend,
1/49 is a proper fraction as an addend,
103/245 is the sum of 2/5 and 1/49.

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2/5 plus 1/49 as a decimal
2/5 + 1/49 = 103/245
103/245 = 0.4204
(2/5) + (1/49) as a decimal is 0.4204

where
0.4204 is the sum of 2/5 and 1/49.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/49 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/49 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/49) using LCM Method:
What is 2/5 plus 1/49 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/49

What to be found?
(2/5) + (1/49) = ?
Find what's the sum of 2/5 and 1/49.

step 2 Compare the denominators of fractions 2/5 and 1/49 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/49 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/5 and 1/49:
The LCM of 5 and 49 is 245.

step 4 Write the fractions 2/5 and 1/49 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/49
= [(2 x 245)/(5 x 245)] + [(1 x 245)/(49 x 245)]

step 5 Simplify the expression to have common denominator:
= 98/245 + 5/245

step 6 Take the common values out and rewrite the above expression like the below:
= 1/245 x (98/1 + 5/1)
= 1/245 x (98 + 5)

step 7Simplify the above expression further:
= 1/245 x 103
= 103/245
2/5 + 1/49 = 103/245

Hence,
2/5 plus 1/49 as a fraction is 103/245.

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2/5 + 1/49 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/49

What to be found?
(2/5)+(1/49) = ?
Find what's the sum of 2/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 49) and rewrite the equation as like the below:
= (2 x 49) + (1 x 5)/(5 x 49)

step 3 Simplify and rewrite the fraction:
= (98 + 5)/245
2/5 + 1/49 = 103/245

Hence,
2/5 plus 1/49 in fraction is 103/245