1/3 + 2/72 as a fraction

Learn how to find what is 1/3 plus 2/72 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/72 as a fraction and decimal.

Summary: 1/3 plus 2/72 = 13/36
Since both fractions have unequal denominators, 1/3 plus 2/72 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/72 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 72. 72 is the LCM of 3 and 72. Multiplying the LCM 72 with the numerators and denominators of both fractions (1/3 x 72/72) + (2/72 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 24/72 and for 2/72 is 2/72. By simplifying this fraction addition 24/72 + 2/72, it becomes 26/72.

Pie Chart Representation: 1/3 + 2/72 = 13/36

CALCULATION: 1/3 + 2/72 as a fraction
1/3 + 2/72 = (?)
1/3 + 2/72 = [(1 x 72) + (2 x 3)]/(3 x 72)
= (72 + 6)/216
= 78/216
= (6 x 13)/(6 x 36)
= 13/36
1/3 + 2/72 = 13/36
1/3 plus 2/72 as a fraction is 13/36.

where
1/3 is a proper fraction as an addend,
2/72 is a proper fraction as an addend,
13/36 is the sum of 1/3 and 2/72.

---

1/3 plus 2/72 as a decimal
1/3 + 2/72 = 13/36
13/36 = 0.3611
(1/3) + (2/72) as a decimal is 0.3611

where
0.3611 is the sum of 1/3 and 2/72.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/72 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/72 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/72) using LCM Method:
What is 1/3 plus 2/72 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/72

What to be found?
(1/3) + (2/72) = ?
Find what's the sum of 1/3 and 2/72.

step 2 Compare the denominators of fractions 1/3 and 2/72 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/72 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 1/3 and 2/72:
The LCM of 3 and 72 is 72.

step 4 Write the fractions 1/3 and 2/72 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/72
= [(1 x 72)/(3 x 72)] + [(2 x 72)/(72 x 72)]

step 5 Simplify the expression to have common denominator:
= 24/72 + 2/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (24/1 + 2/1)
= 1/72 x (24 + 2)

step 7Simplify the above expression further:
= 1/72 x 26
= 26/72
= 13/36
1/3 + 2/72 = 13/36

Hence,
1/3 plus 2/72 as a fraction is 13/36.

---

1/3 + 2/72 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/72

What to be found?
(1/3)+(2/72) = ?
Find what's the sum of 1/3 and 2/72.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 72), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 72) and rewrite the equation as like the below:
= (1 x 72) + (2 x 3)/(3 x 72)

step 3 Simplify and rewrite the fraction:
= (72 + 6)/216
= 78/216
= 13/36
1/3 + 2/72 = 13/36

Hence,
1/3 plus 2/72 in fraction is 13/36