1/5 + 2/36 as a fraction

Learn how to find what is 1/5 plus 2/36 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/36 as a fraction and decimal.

Summary: 1/5 plus 2/36 = 23/90
Since both fractions have unequal denominators, 1/5 plus 2/36 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/36 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 36. 180 is the LCM of 5 and 36. Multiplying the LCM 180 with the numerators and denominators of both fractions (1/5 x 180/180) + (2/36 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 36/180 and for 2/36 is 10/180. By simplifying this fraction addition 36/180 + 10/180, it becomes 46/180.

Pie Chart Representation: 1/5 + 2/36 = 23/90

CALCULATION: 1/5 + 2/36 as a fraction
1/5 + 2/36 = (?)
1/5 + 2/36 = [(1 x 36) + (2 x 5)]/(5 x 36)
= (36 + 10)/180
= 46/180
= (2 x 23)/(2 x 90)
= 23/90
1/5 + 2/36 = 23/90
1/5 plus 2/36 as a fraction is 23/90.

where
1/5 is a proper fraction as an addend,
2/36 is a proper fraction as an addend,
23/90 is the sum of 1/5 and 2/36.

---

1/5 plus 2/36 as a decimal
1/5 + 2/36 = 23/90
23/90 = 0.2556
(1/5) + (2/36) as a decimal is 0.2556

where
0.2556 is the sum of 1/5 and 2/36.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/36 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/36 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/36) using LCM Method:
What is 1/5 plus 2/36 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/36

What to be found?
(1/5) + (2/36) = ?
Find what's the sum of 1/5 and 2/36.

step 2 Compare the denominators of fractions 1/5 and 2/36 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/36 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 2/36:
The LCM of 5 and 36 is 180.

step 4 Write the fractions 1/5 and 2/36 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/36
= [(1 x 180)/(5 x 180)] + [(2 x 180)/(36 x 180)]

step 5 Simplify the expression to have common denominator:
= 36/180 + 10/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (36/1 + 10/1)
= 1/180 x (36 + 10)

step 7Simplify the above expression further:
= 1/180 x 46
= 46/180
= 23/90
1/5 + 2/36 = 23/90

Hence,
1/5 plus 2/36 as a fraction is 23/90.

---

1/5 + 2/36 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/36

What to be found?
(1/5)+(2/36) = ?
Find what's the sum of 1/5 and 2/36.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 36), 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 36) and rewrite the equation as like the below:
= (1 x 36) + (2 x 5)/(5 x 36)

step 3 Simplify and rewrite the fraction:
= (36 + 10)/180
= 46/180
= 23/90
1/5 + 2/36 = 23/90

Hence,
1/5 plus 2/36 in fraction is 23/90