15/2 + 3/14 as a fraction

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

Summary: 15/2 plus 3/14 = 54/7
Since both fractions have unequal denominators, 15/2 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 14. 14 is the LCM of 2 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (15/2 x 14/14) + (3/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 105/14 and for 3/14 is 3/14. By simplifying this fraction addition 105/14 + 3/14, it becomes 108/14.

CALCULATION: 15/2 + 3/14 as a fraction
15/2 + 3/14 = (?)
15/2 + 3/14 = [(15 x 14) + (3 x 2)]/(2 x 14)
= (210 + 6)/28
= 216/28
= (4 x 54)/(4 x 7)
= 54/7
15/2 + 3/14 = 54/7
15/2 plus 3/14 as a fraction is 54/7.

where
15/2 is a improper fraction as an addend,
3/14 is a proper fraction as an addend,
54/7 is the sum of 15/2 and 3/14.

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15/2 plus 3/14 as a decimal
15/2 + 3/14 = 54/7
54/7 = 7.7143
(15/2) + (3/14) as a decimal is 7.7143

where
7.7143 is the sum of 15/2 and 3/14.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 105/14 + 3/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (105/1 + 3/1)
= 1/14 x (105 + 3)

step 7Simplify the above expression further:
= 1/14 x 108
= 108/14
= 54/7
15/2 + 3/14 = 54/7

Hence,
15/2 plus 3/14 as a fraction is 54/7.

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

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

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

step 3 Simplify and rewrite the fraction:
= (210 + 6)/28
= 216/28
= 54/7
15/2 + 3/14 = 54/7

Hence,
15/2 plus 3/14 in fraction is 54/7