2/5 + 1/63 as a fraction

Learn how to find what is 2/5 plus 1/63 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/63 as a fraction and decimal.

Summary: 2/5 plus 1/63 = 131/315
Since both fractions have unequal denominators, 2/5 plus 1/63 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/63 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 63. 315 is the LCM of 5 and 63. Multiplying the LCM 315 with the numerators and denominators of both fractions (2/5 x 315/315) + (1/63 x 315/315), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 126/315 and for 1/63 is 5/315. By simplifying this fraction addition 126/315 + 5/315, it becomes 131/315.

Pie Chart Representation: 2/5 + 1/63 = 131/315

CALCULATION: 2/5 + 1/63 as a fraction
2/5 + 1/63 = (?)
2/5 + 1/63 = [(2 x 63) + (1 x 5)]/(5 x 63)
= (126 + 5)/315
= 131/315
2/5 + 1/63 = 131/315
2/5 plus 1/63 as a fraction is 131/315.

where
2/5 is a proper fraction as an addend,
1/63 is a proper fraction as an addend,
131/315 is the sum of 2/5 and 1/63.

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2/5 plus 1/63 as a decimal
2/5 + 1/63 = 131/315
131/315 = 0.4159
(2/5) + (1/63) as a decimal is 0.4159

where
0.4159 is the sum of 2/5 and 1/63.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/63 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/63 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/63) using LCM Method:
What is 2/5 plus 1/63 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/63

What to be found?
(2/5) + (1/63) = ?
Find what's the sum of 2/5 and 1/63.

step 2 Compare the denominators of fractions 2/5 and 1/63 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/63 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 1/63:
The LCM of 5 and 63 is 315.

step 4 Write the fractions 2/5 and 1/63 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/63
= [(2 x 315)/(5 x 315)] + [(1 x 315)/(63 x 315)]

step 5 Simplify the expression to have common denominator:
= 126/315 + 5/315

step 6 Take the common values out and rewrite the above expression like the below:
= 1/315 x (126/1 + 5/1)
= 1/315 x (126 + 5)

step 7Simplify the above expression further:
= 1/315 x 131
= 131/315
2/5 + 1/63 = 131/315

Hence,
2/5 plus 1/63 as a fraction is 131/315.

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2/5 + 1/63 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/63

What to be found?
(2/5)+(1/63) = ?
Find what's the sum of 2/5 and 1/63.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 63), 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 63) and rewrite the equation as like the below:
= (2 x 63) + (1 x 5)/(5 x 63)

step 3 Simplify and rewrite the fraction:
= (126 + 5)/315
2/5 + 1/63 = 131/315

Hence,
2/5 plus 1/63 in fraction is 131/315