11/3 + 12/13 as a fraction

Learn how to find what is 11/3 plus 12/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 12/13 as a fraction and decimal.

Summary: 11/3 plus 12/13 = 179/39
Since both fractions have unequal denominators, 11/3 plus 12/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 12/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 13. 39 is the LCM of 3 and 13. Multiplying the LCM 39 with the numerators and denominators of both fractions (11/3 x 39/39) + (12/13 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 143/39 and for 12/13 is 36/39. By simplifying this fraction addition 143/39 + 36/39, it becomes 179/39.

CALCULATION: 11/3 + 12/13 as a fraction
11/3 + 12/13 = (?)
11/3 + 12/13 = [(11 x 13) + (12 x 3)]/(3 x 13)
= (143 + 36)/39
= 179/39
11/3 + 12/13 = 179/39
11/3 plus 12/13 as a fraction is 179/39.

where
11/3 is a improper fraction as an addend,
12/13 is a proper fraction as an addend,
179/39 is the sum of 11/3 and 12/13.

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11/3 plus 12/13 as a decimal
11/3 + 12/13 = 179/39
179/39 = 4.5897
(11/3) + (12/13) as a decimal is 4.5897

where
4.5897 is the sum of 11/3 and 12/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 12/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 12/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (12/13) using LCM Method:
What is 11/3 plus 12/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 12/13

What to be found?
(11/3) + (12/13) = ?
Find what's the sum of 11/3 and 12/13.

step 2 Compare the denominators of fractions 11/3 and 12/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 12/13 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 11/3 and 12/13:
The LCM of 3 and 13 is 39.

step 4 Write the fractions 11/3 and 12/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 12/13
= [(11 x 39)/(3 x 39)] + [(12 x 39)/(13 x 39)]

step 5 Simplify the expression to have common denominator:
= 143/39 + 36/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (143/1 + 36/1)
= 1/39 x (143 + 36)

step 7Simplify the above expression further:
= 1/39 x 179
= 179/39
11/3 + 12/13 = 179/39

Hence,
11/3 plus 12/13 as a fraction is 179/39.

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11/3 + 12/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 12/13

What to be found?
(11/3)+(12/13) = ?
Find what's the sum of 11/3 and 12/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (12 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 13) and rewrite the equation as like the below:
= (11 x 13) + (12 x 3)/(3 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 36)/39
11/3 + 12/13 = 179/39

Hence,
11/3 plus 12/13 in fraction is 179/39