9/3 + 8/12 as a fraction

Learn how to find what is 9/3 plus 8/12 in fraction form just in a few minutes. We have covered the easiest method to write 9/3 + 8/12 as a fraction and decimal.

Summary: 9/3 plus 8/12 = 11/3
Since both fractions have unequal denominators, 9/3 plus 8/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/3 and fraction 8/12 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 (9/3 x 12/12) + (8/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 9/3 is 36/12 and for 8/12 is 8/12. By simplifying this fraction addition 36/12 + 8/12, it becomes 44/12.

CALCULATION: 9/3 + 8/12 as a fraction
9/3 + 8/12 = (?)
9/3 + 8/12 = [(9 x 12) + (8 x 3)]/(3 x 12)
= (108 + 24)/36
= 132/36
= (12 x 11)/(12 x 3)
= 11/3
9/3 + 8/12 = 11/3
9/3 plus 8/12 as a fraction is 11/3.

where
9/3 is a improper fraction as an addend,
8/12 is a proper fraction as an addend,
11/3 is the sum of 9/3 and 8/12.

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9/3 plus 8/12 as a decimal
9/3 + 8/12 = 11/3
11/3 = 3.6667
(9/3) + (8/12) as a decimal is 3.6667

where
3.6667 is the sum of 9/3 and 8/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/3 and 8/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/3 plus 8/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/3) + (8/12) using LCM Method:
What is 9/3 plus 8/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/3
Fraction B: 8/12

What to be found?
(9/3) + (8/12) = ?
Find what's the sum of 9/3 and 8/12.

step 2 Compare the denominators of fractions 9/3 and 8/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/3 and 8/12 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 9/3 and 8/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 9/3 and 8/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/3 + 8/12
= [(9 x 12)/(3 x 12)] + [(8 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 36/12 + 8/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (36/1 + 8/1)
= 1/12 x (36 + 8)

step 7Simplify the above expression further:
= 1/12 x 44
= 44/12
= 11/3
9/3 + 8/12 = 11/3

Hence,
9/3 plus 8/12 as a fraction is 11/3.

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9/3 + 8/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/3
Fraction B: 8/12

What to be found?
(9/3)+(8/12) = ?
Find what's the sum of 9/3 and 8/12.

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 (8 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:
= (9 x 12) + (8 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (108 + 24)/36
= 132/36
= 11/3
9/3 + 8/12 = 11/3

Hence,
9/3 plus 8/12 in fraction is 11/3