15/1 + 3/2 as a fraction

Learn how to find what is 15/1 plus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 15/1 + 3/2 as a fraction and decimal.

Summary: 15/1 plus 3/2 = 33/2
Since both fractions have unequal denominators, 15/1 plus 3/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/1 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (15/1 x 2/2) + (3/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 15/1 is 30/2 and for 3/2 is 3/2. By simplifying this fraction addition 30/2 + 3/2, it becomes 33/2.

CALCULATION: 15/1 + 3/2 as a fraction
15/1 + 3/2 = (?)
15/1 + 3/2 = [(15 x 2) + (3 x 1)]/(1 x 2)
= (30 + 3)/2
= 33/2
15/1 + 3/2 = 33/2
15/1 plus 3/2 as a fraction is 33/2.

where
15/1 is a improper fraction as an addend,
3/2 is a improper fraction as an addend,
33/2 is the sum of 15/1 and 3/2.

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15/1 plus 3/2 as a decimal
15/1 + 3/2 = 33/2
33/2 = 16.5
(15/1) + (3/2) as a decimal is 16.5

where
16.5 is the sum of 15/1 and 3/2.

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

(15/1) + (3/2) using LCM Method:
What is 15/1 plus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 3/2

What to be found?
(15/1) + (3/2) = ?
Find what's the sum of 15/1 and 3/2.

step 2 Compare the denominators of fractions 15/1 and 3/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/1 and 3/2 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 15/1 and 3/2:
The LCM of 1 and 2 is 2.

step 4 Write the fractions 15/1 and 3/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/1 + 3/2
= [(15 x 2)/(1 x 2)] + [(3 x 2)/(2 x 2)]

step 5 Simplify the expression to have common denominator:
= 30/2 + 3/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (30/1 + 3/1)
= 1/2 x (30 + 3)

step 7Simplify the above expression further:
= 1/2 x 33
= 33/2
15/1 + 3/2 = 33/2

Hence,
15/1 plus 3/2 as a fraction is 33/2.

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15/1 + 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 3/2

What to be found?
(15/1)+(3/2) = ?
Find what's the sum of 15/1 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (15 x 2) + (3 x 1)/(1 x 2)

step 3 Simplify and rewrite the fraction:
= (30 + 3)/2
15/1 + 3/2 = 33/2

Hence,
15/1 plus 3/2 in fraction is 33/2