9/4 + 11/6 as a fraction

Learn how to find what is 9/4 plus 11/6 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 11/6 as a fraction and decimal.

Summary: 9/4 plus 11/6 = 49/12
Since both fractions have unequal denominators, 9/4 plus 11/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 11/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 6. 12 is the LCM of 4 and 6. Multiplying the LCM 12 with the numerators and denominators of both fractions (9/4 x 12/12) + (11/6 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 27/12 and for 11/6 is 22/12. By simplifying this fraction addition 27/12 + 22/12, it becomes 49/12.

CALCULATION: 9/4 + 11/6 as a fraction
9/4 + 11/6 = (?)
9/4 + 11/6 = [(9 x 6) + (11 x 4)]/(4 x 6)
= (54 + 44)/24
= 98/24
= (2 x 49)/(2 x 12)
= 49/12
9/4 + 11/6 = 49/12
9/4 plus 11/6 as a fraction is 49/12.

where
9/4 is a improper fraction as an addend,
11/6 is a improper fraction as an addend,
49/12 is the sum of 9/4 and 11/6.

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9/4 plus 11/6 as a decimal
9/4 + 11/6 = 49/12
49/12 = 4.0833
(9/4) + (11/6) as a decimal is 4.0833

where
4.0833 is the sum of 9/4 and 11/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 11/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 11/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (11/6) using LCM Method:
What is 9/4 plus 11/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/6

What to be found?
(9/4) + (11/6) = ?
Find what's the sum of 9/4 and 11/6.

step 2 Compare the denominators of fractions 9/4 and 11/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 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 9/4 and 11/6:
The LCM of 4 and 6 is 12.

step 4 Write the fractions 9/4 and 11/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 11/6
= [(9 x 12)/(4 x 12)] + [(11 x 12)/(6 x 12)]

step 5 Simplify the expression to have common denominator:
= 27/12 + 22/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (27/1 + 22/1)
= 1/12 x (27 + 22)

step 7Simplify the above expression further:
= 1/12 x 49
= 49/12
9/4 + 11/6 = 49/12

Hence,
9/4 plus 11/6 as a fraction is 49/12.

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9/4 + 11/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/6

What to be found?
(9/4)+(11/6) = ?
Find what's the sum of 9/4 and 11/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 6), find the product of numerator of Fraction B and denominator of Fraction A (11 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (9 x 6) + (11 x 4)/(4 x 6)

step 3 Simplify and rewrite the fraction:
= (54 + 44)/24
= 98/24
= 49/12
9/4 + 11/6 = 49/12

Hence,
9/4 plus 11/6 in fraction is 49/12