1/5 + 2/29 as a fraction

Learn how to find what is 1/5 plus 2/29 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/29 as a fraction and decimal.

Summary: 1/5 plus 2/29 = 39/145
Since both fractions have unequal denominators, 1/5 plus 2/29 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/29 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 29. 145 is the LCM of 5 and 29. Multiplying the LCM 145 with the numerators and denominators of both fractions (1/5 x 145/145) + (2/29 x 145/145), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 29/145 and for 2/29 is 10/145. By simplifying this fraction addition 29/145 + 10/145, it becomes 39/145.

Pie Chart Representation: 1/5 + 2/29 = 39/145

CALCULATION: 1/5 + 2/29 as a fraction
1/5 + 2/29 = (?)
1/5 + 2/29 = [(1 x 29) + (2 x 5)]/(5 x 29)
= (29 + 10)/145
= 39/145
1/5 + 2/29 = 39/145
1/5 plus 2/29 as a fraction is 39/145.

where
1/5 is a proper fraction as an addend,
2/29 is a proper fraction as an addend,
39/145 is the sum of 1/5 and 2/29.

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1/5 plus 2/29 as a decimal
1/5 + 2/29 = 39/145
39/145 = 0.269
(1/5) + (2/29) as a decimal is 0.269

where
0.269 is the sum of 1/5 and 2/29.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/29 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/29 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/29) using LCM Method:
What is 1/5 plus 2/29 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/29

What to be found?
(1/5) + (2/29) = ?
Find what's the sum of 1/5 and 2/29.

step 2 Compare the denominators of fractions 1/5 and 2/29 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/29 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 1/5 and 2/29:
The LCM of 5 and 29 is 145.

step 4 Write the fractions 1/5 and 2/29 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/29
= [(1 x 145)/(5 x 145)] + [(2 x 145)/(29 x 145)]

step 5 Simplify the expression to have common denominator:
= 29/145 + 10/145

step 6 Take the common values out and rewrite the above expression like the below:
= 1/145 x (29/1 + 10/1)
= 1/145 x (29 + 10)

step 7Simplify the above expression further:
= 1/145 x 39
= 39/145
1/5 + 2/29 = 39/145

Hence,
1/5 plus 2/29 as a fraction is 39/145.

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1/5 + 2/29 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/29

What to be found?
(1/5)+(2/29) = ?
Find what's the sum of 1/5 and 2/29.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 29), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 29) and rewrite the equation as like the below:
= (1 x 29) + (2 x 5)/(5 x 29)

step 3 Simplify and rewrite the fraction:
= (29 + 10)/145
1/5 + 2/29 = 39/145

Hence,
1/5 plus 2/29 in fraction is 39/145