5/3 + 13/12 as a fraction

Learn how to find what is 5/3 plus 13/12 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 + 13/12 as a fraction and decimal.

Summary: 5/3 plus 13/12 = 11/4
Since both fractions have unequal denominators, 5/3 plus 13/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 13/12 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 (5/3 x 12/12) + (13/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 20/12 and for 13/12 is 13/12. By simplifying this fraction addition 20/12 + 13/12, it becomes 33/12.

CALCULATION: 5/3 + 13/12 as a fraction
5/3 + 13/12 = (?)
5/3 + 13/12 = [(5 x 12) + (13 x 3)]/(3 x 12)
= (60 + 39)/36
= 99/36
= (9 x 11)/(9 x 4)
= 11/4
5/3 + 13/12 = 11/4
5/3 plus 13/12 as a fraction is 11/4.

where
5/3 is a improper fraction as an addend,
13/12 is a improper fraction as an addend,
11/4 is the sum of 5/3 and 13/12.

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5/3 plus 13/12 as a decimal
5/3 + 13/12 = 11/4
11/4 = 2.75
(5/3) + (13/12) as a decimal is 2.75

where
2.75 is the sum of 5/3 and 13/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/3 and 13/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/3 plus 13/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/3) + (13/12) using LCM Method:
What is 5/3 plus 13/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 13/12

What to be found?
(5/3) + (13/12) = ?
Find what's the sum of 5/3 and 13/12.

step 2 Compare the denominators of fractions 5/3 and 13/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 and 13/12 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 5/3 and 13/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 5/3 and 13/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 + 13/12
= [(5 x 12)/(3 x 12)] + [(13 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 20/12 + 13/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (20/1 + 13/1)
= 1/12 x (20 + 13)

step 7Simplify the above expression further:
= 1/12 x 33
= 33/12
= 11/4
5/3 + 13/12 = 11/4

Hence,
5/3 plus 13/12 as a fraction is 11/4.

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5/3 + 13/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 13/12

What to be found?
(5/3)+(13/12) = ?
Find what's the sum of 5/3 and 13/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 12), find the product of numerator of Fraction B and denominator of Fraction A (13 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:
= (5 x 12) + (13 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (60 + 39)/36
= 99/36
= 11/4
5/3 + 13/12 = 11/4

Hence,
5/3 plus 13/12 in fraction is 11/4