3/2 + 15/17 as a fraction

Learn how to find what is 3/2 plus 15/17 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 15/17 as a fraction and decimal.

Summary: 3/2 plus 15/17 = 81/34
Since both fractions have unequal denominators, 3/2 plus 15/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 15/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 17. 34 is the LCM of 2 and 17. Multiplying the LCM 34 with the numerators and denominators of both fractions (3/2 x 34/34) + (15/17 x 34/34), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 51/34 and for 15/17 is 30/34. By simplifying this fraction addition 51/34 + 30/34, it becomes 81/34.

CALCULATION: 3/2 + 15/17 as a fraction
3/2 + 15/17 = (?)
3/2 + 15/17 = [(3 x 17) + (15 x 2)]/(2 x 17)
= (51 + 30)/34
= 81/34
3/2 + 15/17 = 81/34
3/2 plus 15/17 as a fraction is 81/34.

where
3/2 is a improper fraction as an addend,
15/17 is a proper fraction as an addend,
81/34 is the sum of 3/2 and 15/17.

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3/2 plus 15/17 as a decimal
3/2 + 15/17 = 81/34
81/34 = 2.3824
(3/2) + (15/17) as a decimal is 2.3824

where
2.3824 is the sum of 3/2 and 15/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 15/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 15/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (15/17) using LCM Method:
What is 3/2 plus 15/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 15/17

What to be found?
(3/2) + (15/17) = ?
Find what's the sum of 3/2 and 15/17.

step 2 Compare the denominators of fractions 3/2 and 15/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 15/17 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 3/2 and 15/17:
The LCM of 2 and 17 is 34.

step 4 Write the fractions 3/2 and 15/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 15/17
= [(3 x 34)/(2 x 34)] + [(15 x 34)/(17 x 34)]

step 5 Simplify the expression to have common denominator:
= 51/34 + 30/34

step 6 Take the common values out and rewrite the above expression like the below:
= 1/34 x (51/1 + 30/1)
= 1/34 x (51 + 30)

step 7Simplify the above expression further:
= 1/34 x 81
= 81/34
3/2 + 15/17 = 81/34

Hence,
3/2 plus 15/17 as a fraction is 81/34.

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3/2 + 15/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 15/17

What to be found?
(3/2)+(15/17) = ?
Find what's the sum of 3/2 and 15/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 17), find the product of numerator of Fraction B and denominator of Fraction A (15 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 17) and rewrite the equation as like the below:
= (3 x 17) + (15 x 2)/(2 x 17)

step 3 Simplify and rewrite the fraction:
= (51 + 30)/34
3/2 + 15/17 = 81/34

Hence,
3/2 plus 15/17 in fraction is 81/34