3/2 + 14/15 as a fraction

Learn how to find what is 3/2 plus 14/15 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 14/15 as a fraction and decimal.

Summary: 3/2 plus 14/15 = 73/30
Since both fractions have unequal denominators, 3/2 plus 14/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 14/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (3/2 x 30/30) + (14/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 45/30 and for 14/15 is 28/30. By simplifying this fraction addition 45/30 + 28/30, it becomes 73/30.

CALCULATION: 3/2 + 14/15 as a fraction
3/2 + 14/15 = (?)
3/2 + 14/15 = [(3 x 15) + (14 x 2)]/(2 x 15)
= (45 + 28)/30
= 73/30
3/2 + 14/15 = 73/30
3/2 plus 14/15 as a fraction is 73/30.

where
3/2 is a improper fraction as an addend,
14/15 is a proper fraction as an addend,
73/30 is the sum of 3/2 and 14/15.

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3/2 plus 14/15 as a decimal
3/2 + 14/15 = 73/30
73/30 = 2.4333
(3/2) + (14/15) as a decimal is 2.4333

where
2.4333 is the sum of 3/2 and 14/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 14/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 14/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (14/15) using LCM Method:
What is 3/2 plus 14/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 14/15

What to be found?
(3/2) + (14/15) = ?
Find what's the sum of 3/2 and 14/15.

step 2 Compare the denominators of fractions 3/2 and 14/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 14/15 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 14/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 3/2 and 14/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 14/15
= [(3 x 30)/(2 x 30)] + [(14 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 45/30 + 28/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (45/1 + 28/1)
= 1/30 x (45 + 28)

step 7Simplify the above expression further:
= 1/30 x 73
= 73/30
3/2 + 14/15 = 73/30

Hence,
3/2 plus 14/15 as a fraction is 73/30.

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3/2 + 14/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 14/15

What to be found?
(3/2)+(14/15) = ?
Find what's the sum of 3/2 and 14/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 15), find the product of numerator of Fraction B and denominator of Fraction A (14 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 15) and rewrite the equation as like the below:
= (3 x 15) + (14 x 2)/(2 x 15)

step 3 Simplify and rewrite the fraction:
= (45 + 28)/30
3/2 + 14/15 = 73/30

Hence,
3/2 plus 14/15 in fraction is 73/30