2/5 + 1/72 as a fraction

Learn how to find what is 2/5 plus 1/72 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/72 as a fraction and decimal.

Summary: 2/5 plus 1/72 = 149/360
Since both fractions have unequal denominators, 2/5 plus 1/72 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/72 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 72. 360 is the LCM of 5 and 72. Multiplying the LCM 360 with the numerators and denominators of both fractions (2/5 x 360/360) + (1/72 x 360/360), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 144/360 and for 1/72 is 5/360. By simplifying this fraction addition 144/360 + 5/360, it becomes 149/360.

Pie Chart Representation: 2/5 + 1/72 = 149/360

CALCULATION: 2/5 + 1/72 as a fraction
2/5 + 1/72 = (?)
2/5 + 1/72 = [(2 x 72) + (1 x 5)]/(5 x 72)
= (144 + 5)/360
= 149/360
2/5 + 1/72 = 149/360
2/5 plus 1/72 as a fraction is 149/360.

where
2/5 is a proper fraction as an addend,
1/72 is a proper fraction as an addend,
149/360 is the sum of 2/5 and 1/72.

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2/5 plus 1/72 as a decimal
2/5 + 1/72 = 149/360
149/360 = 0.4139
(2/5) + (1/72) as a decimal is 0.4139

where
0.4139 is the sum of 2/5 and 1/72.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/72 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/72 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/72) using LCM Method:
What is 2/5 plus 1/72 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/72

What to be found?
(2/5) + (1/72) = ?
Find what's the sum of 2/5 and 1/72.

step 2 Compare the denominators of fractions 2/5 and 1/72 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/72 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 1/72:
The LCM of 5 and 72 is 360.

step 4 Write the fractions 2/5 and 1/72 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/72
= [(2 x 360)/(5 x 360)] + [(1 x 360)/(72 x 360)]

step 5 Simplify the expression to have common denominator:
= 144/360 + 5/360

step 6 Take the common values out and rewrite the above expression like the below:
= 1/360 x (144/1 + 5/1)
= 1/360 x (144 + 5)

step 7Simplify the above expression further:
= 1/360 x 149
= 149/360
2/5 + 1/72 = 149/360

Hence,
2/5 plus 1/72 as a fraction is 149/360.

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2/5 + 1/72 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/72

What to be found?
(2/5)+(1/72) = ?
Find what's the sum of 2/5 and 1/72.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 72), 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 72) and rewrite the equation as like the below:
= (2 x 72) + (1 x 5)/(5 x 72)

step 3 Simplify and rewrite the fraction:
= (144 + 5)/360
2/5 + 1/72 = 149/360

Hence,
2/5 plus 1/72 in fraction is 149/360