7/2 + 11/6 as a fraction

Learn how to find what is 7/2 plus 11/6 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 + 11/6 as a fraction and decimal.

Summary: 7/2 plus 11/6 = 16/3
Since both fractions have unequal denominators, 7/2 plus 11/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 11/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 6. 6 is the LCM of 2 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/2 x 6/6) + (11/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 21/6 and for 11/6 is 11/6. By simplifying this fraction addition 21/6 + 11/6, it becomes 32/6.

CALCULATION: 7/2 + 11/6 as a fraction
7/2 + 11/6 = (?)
7/2 + 11/6 = [(7 x 6) + (11 x 2)]/(2 x 6)
= (42 + 22)/12
= 64/12
= (4 x 16)/(4 x 3)
= 16/3
7/2 + 11/6 = 16/3
7/2 plus 11/6 as a fraction is 16/3.

where
7/2 is a improper fraction as an addend,
11/6 is a improper fraction as an addend,
16/3 is the sum of 7/2 and 11/6.

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7/2 plus 11/6 as a decimal
7/2 + 11/6 = 16/3
16/3 = 5.3333
(7/2) + (11/6) as a decimal is 5.3333

where
5.3333 is the sum of 7/2 and 11/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/2 and 11/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/2 plus 11/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/2) + (11/6) using LCM Method:
What is 7/2 plus 11/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/6

What to be found?
(7/2) + (11/6) = ?
Find what's the sum of 7/2 and 11/6.

step 2 Compare the denominators of fractions 7/2 and 11/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/2 and 11/6 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 7/2 and 11/6:
The LCM of 2 and 6 is 6.

step 4 Write the fractions 7/2 and 11/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 11/6
= [(7 x 6)/(2 x 6)] + [(11 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 21/6 + 11/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (21/1 + 11/1)
= 1/6 x (21 + 11)

step 7Simplify the above expression further:
= 1/6 x 32
= 32/6
= 16/3
7/2 + 11/6 = 16/3

Hence,
7/2 plus 11/6 as a fraction is 16/3.

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7/2 + 11/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/6

What to be found?
(7/2)+(11/6) = ?
Find what's the sum of 7/2 and 11/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (11 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
= (7 x 6) + (11 x 2)/(2 x 6)

step 3 Simplify and rewrite the fraction:
= (42 + 22)/12
= 64/12
= 16/3
7/2 + 11/6 = 16/3

Hence,
7/2 plus 11/6 in fraction is 16/3