7/3 + 11/12 as a fraction

Learn how to find what is 7/3 plus 11/12 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 + 11/12 as a fraction and decimal.

Summary: 7/3 plus 11/12 = 13/4
Since both fractions have unequal denominators, 7/3 plus 11/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 11/12 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 (7/3 x 12/12) + (11/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 28/12 and for 11/12 is 11/12. By simplifying this fraction addition 28/12 + 11/12, it becomes 39/12.

CALCULATION: 7/3 + 11/12 as a fraction
7/3 + 11/12 = (?)
7/3 + 11/12 = [(7 x 12) + (11 x 3)]/(3 x 12)
= (84 + 33)/36
= 117/36
= (9 x 13)/(9 x 4)
= 13/4
7/3 + 11/12 = 13/4
7/3 plus 11/12 as a fraction is 13/4.

where
7/3 is a improper fraction as an addend,
11/12 is a proper fraction as an addend,
13/4 is the sum of 7/3 and 11/12.

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7/3 plus 11/12 as a decimal
7/3 + 11/12 = 13/4
13/4 = 3.25
(7/3) + (11/12) as a decimal is 3.25

where
3.25 is the sum of 7/3 and 11/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/3 and 11/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/3 plus 11/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/3) + (11/12) using LCM Method:
What is 7/3 plus 11/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 11/12

What to be found?
(7/3) + (11/12) = ?
Find what's the sum of 7/3 and 11/12.

step 2 Compare the denominators of fractions 7/3 and 11/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 11/12 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 7/3 and 11/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 7/3 and 11/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 11/12
= [(7 x 12)/(3 x 12)] + [(11 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 28/12 + 11/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (28/1 + 11/1)
= 1/12 x (28 + 11)

step 7Simplify the above expression further:
= 1/12 x 39
= 39/12
= 13/4
7/3 + 11/12 = 13/4

Hence,
7/3 plus 11/12 as a fraction is 13/4.

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7/3 + 11/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 11/12

What to be found?
(7/3)+(11/12) = ?
Find what's the sum of 7/3 and 11/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 12), find the product of numerator of Fraction B and denominator of Fraction A (11 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:
= (7 x 12) + (11 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (84 + 33)/36
= 117/36
= 13/4
7/3 + 11/12 = 13/4

Hence,
7/3 plus 11/12 in fraction is 13/4