11/6 + 17/12 as a fraction

Learn how to find what is 11/6 plus 17/12 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 17/12 as a fraction and decimal.

Summary: 11/6 plus 17/12 = 13/4
Since both fractions have unequal denominators, 11/6 plus 17/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 17/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 12. 12 is the LCM of 6 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (11/6 x 12/12) + (17/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 22/12 and for 17/12 is 17/12. By simplifying this fraction addition 22/12 + 17/12, it becomes 39/12.

CALCULATION: 11/6 + 17/12 as a fraction
11/6 + 17/12 = (?)
11/6 + 17/12 = [(11 x 12) + (17 x 6)]/(6 x 12)
= (132 + 102)/72
= 234/72
= (18 x 13)/(18 x 4)
= 13/4
11/6 + 17/12 = 13/4
11/6 plus 17/12 as a fraction is 13/4.

where
11/6 is a improper fraction as an addend,
17/12 is a improper fraction as an addend,
13/4 is the sum of 11/6 and 17/12.

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11/6 plus 17/12 as a decimal
11/6 + 17/12 = 13/4
13/4 = 3.25
(11/6) + (17/12) as a decimal is 3.25

where
3.25 is the sum of 11/6 and 17/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 17/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/6 plus 17/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/6) + (17/12) using LCM Method:
What is 11/6 plus 17/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 17/12

What to be found?
(11/6) + (17/12) = ?
Find what's the sum of 11/6 and 17/12.

step 2 Compare the denominators of fractions 11/6 and 17/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 and 17/12 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 11/6 and 17/12:
The LCM of 6 and 12 is 12.

step 4 Write the fractions 11/6 and 17/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 17/12
= [(11 x 12)/(6 x 12)] + [(17 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 22/12 + 17/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (22/1 + 17/1)
= 1/12 x (22 + 17)

step 7Simplify the above expression further:
= 1/12 x 39
= 39/12
= 13/4
11/6 + 17/12 = 13/4

Hence,
11/6 plus 17/12 as a fraction is 13/4.

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11/6 + 17/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 17/12

What to be found?
(11/6)+(17/12) = ?
Find what's the sum of 11/6 and 17/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 12), find the product of numerator of Fraction B and denominator of Fraction A (17 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 12) and rewrite the equation as like the below:
= (11 x 12) + (17 x 6)/(6 x 12)

step 3 Simplify and rewrite the fraction:
= (132 + 102)/72
= 234/72
= 13/4
11/6 + 17/12 = 13/4

Hence,
11/6 plus 17/12 in fraction is 13/4