1/5 + 2/32 as a fraction

Learn how to find what is 1/5 plus 2/32 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/32 as a fraction and decimal.

Summary: 1/5 plus 2/32 = 21/80
Since both fractions have unequal denominators, 1/5 plus 2/32 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/32 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 32. 160 is the LCM of 5 and 32. Multiplying the LCM 160 with the numerators and denominators of both fractions (1/5 x 160/160) + (2/32 x 160/160), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 32/160 and for 2/32 is 10/160. By simplifying this fraction addition 32/160 + 10/160, it becomes 42/160.

Pie Chart Representation: 1/5 + 2/32 = 21/80

CALCULATION: 1/5 + 2/32 as a fraction
1/5 + 2/32 = (?)
1/5 + 2/32 = [(1 x 32) + (2 x 5)]/(5 x 32)
= (32 + 10)/160
= 42/160
= (2 x 21)/(2 x 80)
= 21/80
1/5 + 2/32 = 21/80
1/5 plus 2/32 as a fraction is 21/80.

where
1/5 is a proper fraction as an addend,
2/32 is a proper fraction as an addend,
21/80 is the sum of 1/5 and 2/32.

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1/5 plus 2/32 as a decimal
1/5 + 2/32 = 21/80
21/80 = 0.2625
(1/5) + (2/32) as a decimal is 0.2625

where
0.2625 is the sum of 1/5 and 2/32.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/32 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/32 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/32) using LCM Method:
What is 1/5 plus 2/32 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/32

What to be found?
(1/5) + (2/32) = ?
Find what's the sum of 1/5 and 2/32.

step 2 Compare the denominators of fractions 1/5 and 2/32 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/32 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 2/32:
The LCM of 5 and 32 is 160.

step 4 Write the fractions 1/5 and 2/32 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/32
= [(1 x 160)/(5 x 160)] + [(2 x 160)/(32 x 160)]

step 5 Simplify the expression to have common denominator:
= 32/160 + 10/160

step 6 Take the common values out and rewrite the above expression like the below:
= 1/160 x (32/1 + 10/1)
= 1/160 x (32 + 10)

step 7Simplify the above expression further:
= 1/160 x 42
= 42/160
= 21/80
1/5 + 2/32 = 21/80

Hence,
1/5 plus 2/32 as a fraction is 21/80.

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1/5 + 2/32 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/32

What to be found?
(1/5)+(2/32) = ?
Find what's the sum of 1/5 and 2/32.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 32), 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 32) and rewrite the equation as like the below:
= (1 x 32) + (2 x 5)/(5 x 32)

step 3 Simplify and rewrite the fraction:
= (32 + 10)/160
= 42/160
= 21/80
1/5 + 2/32 = 21/80

Hence,
1/5 plus 2/32 in fraction is 21/80