12/7 + 15 as a fraction

Learn how to find what is 12/7 plus 15 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 15 as a fraction and decimal.

Summary: 12/7 plus 15 = 117/7
Since both fractions have unequal denominators, 12/7 plus 15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (12/7 x 7/7) + (15 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 12/7 and for 15 is 105/7. By simplifying this fraction addition 12/7 + 105/7, it becomes 117/7.

CALCULATION: 12/7 + 15 as a fraction
12/7 + 15 = (?)
12/7 + 15/1 = [(12 x 1) + (15 x 7)]/(7 x 1)
= (12 + 105)/7
= 117/7
12/7 + 15 = 117/7
12/7 plus 15 as a fraction is 117/7.

where
12/7 is a improper fraction as an addend,
15 is a whole number as an addend,
117/7 is the sum of 12/7 and 15.

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12/7 plus 15 as a decimal
12/7 + 15 = 117/7
117/7 = 16.7143
(12/7) + (15) as a decimal is 16.7143

where
16.7143 is the sum of 12/7 and 15.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 15 by adding fraction to a whole number . The sum in fraction form for 12/7 plus 15/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (15) using LCM Method:
What is 12/7 plus 15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 15/1

What to be found?
(12/7) + (15) = ?
Find what's the sum of 12/7 and 15.

step 2 Compare the denominators of fractions 12/7 and 15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 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 12/7 and 15:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 12/7 and 15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 15
= [(12 x 7)/(7 x 7)] + [(15 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 12/7 + 105/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (12/1 + 105/1)
= 1/7 x (12 + 105)

step 7Simplify the above expression further:
= 1/7 x 117
= 117/7
12/7 + 15 = 117/7

Hence,
12/7 plus 15 as a fraction is 117/7.

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12/7 + 15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 15/1

What to be found?
(12/7)+(15) = ?
Find what's the sum of 12/7 and 15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 1), find the product of numerator of Fraction B and denominator of Fraction A (15 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (12 x 1) + (15 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (12 + 105)/7
12/7 + 15 = 117/7

Hence,
12/7 plus 15 in fraction is 117/7