9/4 + 13/12 as a fraction

Learn how to find what is 9/4 plus 13/12 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 13/12 as a fraction and decimal.

Summary: 9/4 plus 13/12 = 10/3
Since both fractions have unequal denominators, 9/4 plus 13/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 13/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 12. 12 is the LCM of 4 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (9/4 x 12/12) + (13/12 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 13/12 is 13/12. By simplifying this fraction addition 27/12 + 13/12, it becomes 40/12.

CALCULATION: 9/4 + 13/12 as a fraction
9/4 + 13/12 = (?)
9/4 + 13/12 = [(9 x 12) + (13 x 4)]/(4 x 12)
= (108 + 52)/48
= 160/48
= (16 x 10)/(16 x 3)
= 10/3
9/4 + 13/12 = 10/3
9/4 plus 13/12 as a fraction is 10/3.

where
9/4 is a improper fraction as an addend,
13/12 is a improper fraction as an addend,
10/3 is the sum of 9/4 and 13/12.

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9/4 plus 13/12 as a decimal
9/4 + 13/12 = 10/3
10/3 = 3.3333
(9/4) + (13/12) as a decimal is 3.3333

where
3.3333 is the sum of 9/4 and 13/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 13/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 13/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (13/12) using LCM Method:
What is 9/4 plus 13/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 13/12

What to be found?
(9/4) + (13/12) = ?
Find what's the sum of 9/4 and 13/12.

step 2 Compare the denominators of fractions 9/4 and 13/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 13/12 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 9/4 and 13/12:
The LCM of 4 and 12 is 12.

step 4 Write the fractions 9/4 and 13/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 13/12
= [(9 x 12)/(4 x 12)] + [(13 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 27/12 + 13/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (27/1 + 13/1)
= 1/12 x (27 + 13)

step 7Simplify the above expression further:
= 1/12 x 40
= 40/12
= 10/3
9/4 + 13/12 = 10/3

Hence,
9/4 plus 13/12 as a fraction is 10/3.

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9/4 + 13/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 13/12

What to be found?
(9/4)+(13/12) = ?
Find what's the sum of 9/4 and 13/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 12), find the product of numerator of Fraction B and denominator of Fraction A (13 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 12) and rewrite the equation as like the below:
= (9 x 12) + (13 x 4)/(4 x 12)

step 3 Simplify and rewrite the fraction:
= (108 + 52)/48
= 160/48
= 10/3
9/4 + 13/12 = 10/3

Hence,
9/4 plus 13/12 in fraction is 10/3