15/7 + 9 as a fraction

Learn how to find what is 15/7 plus 9 in fraction form just in a few minutes. We have covered the easiest method to write 15/7 + 9 as a fraction and decimal.

Summary: 15/7 plus 9 = 78/7
Since both fractions have unequal denominators, 15/7 plus 9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/7 and fraction 9 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 (15/7 x 7/7) + (9 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 15/7 is 15/7 and for 9 is 63/7. By simplifying this fraction addition 15/7 + 63/7, it becomes 78/7.

CALCULATION: 15/7 + 9 as a fraction
15/7 + 9 = (?)
15/7 + 9/1 = [(15 x 1) + (9 x 7)]/(7 x 1)
= (15 + 63)/7
= 78/7
15/7 + 9 = 78/7
15/7 plus 9 as a fraction is 78/7.

where
15/7 is a improper fraction as an addend,
9 is a whole number as an addend,
78/7 is the sum of 15/7 and 9.

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15/7 plus 9 as a decimal
15/7 + 9 = 78/7
78/7 = 11.1429
(15/7) + (9) as a decimal is 11.1429

where
11.1429 is the sum of 15/7 and 9.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/7 and 9 by adding fraction to a whole number . The sum in fraction form for 15/7 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/7) + (9) using LCM Method:
What is 15/7 plus 9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 9/1

What to be found?
(15/7) + (9) = ?
Find what's the sum of 15/7 and 9.

step 2 Compare the denominators of fractions 15/7 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/7 and 9 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 15/7 and 9:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 15/7 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/7 + 9
= [(15 x 7)/(7 x 7)] + [(9 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 15/7 + 63/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (15/1 + 63/1)
= 1/7 x (15 + 63)

step 7Simplify the above expression further:
= 1/7 x 78
= 78/7
15/7 + 9 = 78/7

Hence,
15/7 plus 9 as a fraction is 78/7.

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15/7 + 9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 9/1

What to be found?
(15/7)+(9) = ?
Find what's the sum of 15/7 and 9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (15 x 1) + (9 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (15 + 63)/7
15/7 + 9 = 78/7

Hence,
15/7 plus 9 in fraction is 78/7