2/3 + 5/12 as a fraction

Learn how to find what is 2/3 plus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 5/12 as a fraction and decimal.

Summary: 2/3 plus 5/12 = 13/12
Since both fractions have unequal denominators, 2/3 plus 5/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 12. 12 is the LCM of 3 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (2/3 x 12/12) + (5/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 8/12 and for 5/12 is 5/12. By simplifying this fraction addition 8/12 + 5/12, it becomes 13/12.

CALCULATION: 2/3 + 5/12 as a fraction
2/3 + 5/12 = (?)
2/3 + 5/12 = [(2 x 12) + (5 x 3)]/(3 x 12)
= (24 + 15)/36
= 39/36
= (3 x 13)/(3 x 12)
= 13/12
2/3 + 5/12 = 13/12
2/3 plus 5/12 as a fraction is 13/12.

where
2/3 is a proper fraction as an addend,
5/12 is a proper fraction as an addend,
13/12 is the sum of 2/3 and 5/12.

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2/3 plus 5/12 as a decimal
2/3 + 5/12 = 13/12
13/12 = 1.0833
(2/3) + (5/12) as a decimal is 1.0833

where
1.0833 is the sum of 2/3 and 5/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 5/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 5/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/3) + (5/12) using LCM Method:
What is 2/3 plus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/12

What to be found?
(2/3) + (5/12) = ?
Find what's the sum of 2/3 and 5/12.

step 2 Compare the denominators of fractions 2/3 and 5/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 5/12 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 2/3 and 5/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 2/3 and 5/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 5/12
= [(2 x 12)/(3 x 12)] + [(5 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 8/12 + 5/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (8/1 + 5/1)
= 1/12 x (8 + 5)

step 7Simplify the above expression further:
= 1/12 x 13
= 13/12
2/3 + 5/12 = 13/12

Hence,
2/3 plus 5/12 as a fraction is 13/12.

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2/3 + 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/12

What to be found?
(2/3)+(5/12) = ?
Find what's the sum of 2/3 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 12) and rewrite the equation as like the below:
= (2 x 12) + (5 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (24 + 15)/36
= 39/36
= 13/12
2/3 + 5/12 = 13/12

Hence,
2/3 plus 5/12 in fraction is 13/12