13/3 + 7/12 as a fraction

Learn how to find what is 13/3 plus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 + 7/12 as a fraction and decimal.

Summary: 13/3 plus 7/12 = 59/12
Since both fractions have unequal denominators, 13/3 plus 7/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 7/12 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 (13/3 x 12/12) + (7/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 52/12 and for 7/12 is 7/12. By simplifying this fraction addition 52/12 + 7/12, it becomes 59/12.

CALCULATION: 13/3 + 7/12 as a fraction
13/3 + 7/12 = (?)
13/3 + 7/12 = [(13 x 12) + (7 x 3)]/(3 x 12)
= (156 + 21)/36
= 177/36
= (3 x 59)/(3 x 12)
= 59/12
13/3 + 7/12 = 59/12
13/3 plus 7/12 as a fraction is 59/12.

where
13/3 is a improper fraction as an addend,
7/12 is a proper fraction as an addend,
59/12 is the sum of 13/3 and 7/12.

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13/3 plus 7/12 as a decimal
13/3 + 7/12 = 59/12
59/12 = 4.9167
(13/3) + (7/12) as a decimal is 4.9167

where
4.9167 is the sum of 13/3 and 7/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/3 and 7/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/3 plus 7/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/3) + (7/12) using LCM Method:
What is 13/3 plus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 7/12

What to be found?
(13/3) + (7/12) = ?
Find what's the sum of 13/3 and 7/12.

step 2 Compare the denominators of fractions 13/3 and 7/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/3 and 7/12 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 13/3 and 7/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 13/3 and 7/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 + 7/12
= [(13 x 12)/(3 x 12)] + [(7 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 52/12 + 7/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (52/1 + 7/1)
= 1/12 x (52 + 7)

step 7Simplify the above expression further:
= 1/12 x 59
= 59/12
13/3 + 7/12 = 59/12

Hence,
13/3 plus 7/12 as a fraction is 59/12.

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13/3 + 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 7/12

What to be found?
(13/3)+(7/12) = ?
Find what's the sum of 13/3 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (13 x 12) + (7 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (156 + 21)/36
= 177/36
= 59/12
13/3 + 7/12 = 59/12

Hence,
13/3 plus 7/12 in fraction is 59/12