15/4 + 10/3 as a fraction

Learn how to find what is 15/4 plus 10/3 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 10/3 as a fraction and decimal.

Summary: 15/4 plus 10/3 = 85/12
Since both fractions have unequal denominators, 15/4 plus 10/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 10/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 3. 12 is the LCM of 4 and 3. Multiplying the LCM 12 with the numerators and denominators of both fractions (15/4 x 12/12) + (10/3 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 45/12 and for 10/3 is 40/12. By simplifying this fraction addition 45/12 + 40/12, it becomes 85/12.

CALCULATION: 15/4 + 10/3 as a fraction
15/4 + 10/3 = (?)
15/4 + 10/3 = [(15 x 3) + (10 x 4)]/(4 x 3)
= (45 + 40)/12
= 85/12
15/4 + 10/3 = 85/12
15/4 plus 10/3 as a fraction is 85/12.

where
15/4 is a improper fraction as an addend,
10/3 is a improper fraction as an addend,
85/12 is the sum of 15/4 and 10/3.

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15/4 plus 10/3 as a decimal
15/4 + 10/3 = 85/12
85/12 = 7.0833
(15/4) + (10/3) as a decimal is 7.0833

where
7.0833 is the sum of 15/4 and 10/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 10/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 10/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (10/3) using LCM Method:
What is 15/4 plus 10/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 10/3

What to be found?
(15/4) + (10/3) = ?
Find what's the sum of 15/4 and 10/3.

step 2 Compare the denominators of fractions 15/4 and 10/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 10/3 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 15/4 and 10/3:
The LCM of 4 and 3 is 12.

step 4 Write the fractions 15/4 and 10/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 10/3
= [(15 x 12)/(4 x 12)] + [(10 x 12)/(3 x 12)]

step 5 Simplify the expression to have common denominator:
= 45/12 + 40/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (45/1 + 40/1)
= 1/12 x (45 + 40)

step 7Simplify the above expression further:
= 1/12 x 85
= 85/12
15/4 + 10/3 = 85/12

Hence,
15/4 plus 10/3 as a fraction is 85/12.

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15/4 + 10/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 10/3

What to be found?
(15/4)+(10/3) = ?
Find what's the sum of 15/4 and 10/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 3), find the product of numerator of Fraction B and denominator of Fraction A (10 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 3) and rewrite the equation as like the below:
= (15 x 3) + (10 x 4)/(4 x 3)

step 3 Simplify and rewrite the fraction:
= (45 + 40)/12
15/4 + 10/3 = 85/12

Hence,
15/4 plus 10/3 in fraction is 85/12