16/15 + 17 as a fraction

Learn how to find what is 16/15 plus 17 in fraction form just in a few minutes. We have covered the easiest method to write 16/15 + 17 as a fraction and decimal.

Summary: 16/15 plus 17 = 271/15
Since both fractions have unequal denominators, 16/15 plus 17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/15 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 15 and 1. 15 is the LCM of 15 and 1. Multiplying the LCM 15 with the numerators and denominators of both fractions (16/15 x 15/15) + (17 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 16/15 is 16/15 and for 17 is 255/15. By simplifying this fraction addition 16/15 + 255/15, it becomes 271/15.

CALCULATION: 16/15 + 17 as a fraction
16/15 + 17 = (?)
16/15 + 17/1 = [(16 x 1) + (17 x 15)]/(15 x 1)
= (16 + 255)/15
= 271/15
16/15 + 17 = 271/15
16/15 plus 17 as a fraction is 271/15.

where
16/15 is a improper fraction as an addend,
17 is a whole number as an addend,
271/15 is the sum of 16/15 and 17.

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16/15 plus 17 as a decimal
16/15 + 17 = 271/15
271/15 = 18.0667
(16/15) + (17) as a decimal is 18.0667

where
18.0667 is the sum of 16/15 and 17.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/15 and 17 by adding fraction to a whole number . The sum in fraction form for 16/15 plus 17/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/15) + (17) using LCM Method:
What is 16/15 plus 17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/15
Fraction B: 17/1

What to be found?
(16/15) + (17) = ?
Find what's the sum of 16/15 and 17.

step 2 Compare the denominators of fractions 16/15 and 17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/15 and 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 16/15 and 17:
The LCM of 15 and 1 is 15.

step 4 Write the fractions 16/15 and 17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/15 + 17
= [(16 x 15)/(15 x 15)] + [(17 x 15)/(1 x 15)]

step 5 Simplify the expression to have common denominator:
= 16/15 + 255/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (16/1 + 255/1)
= 1/15 x (16 + 255)

step 7Simplify the above expression further:
= 1/15 x 271
= 271/15
16/15 + 17 = 271/15

Hence,
16/15 plus 17 as a fraction is 271/15.

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16/15 + 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/15
Fraction B: 17/1

What to be found?
(16/15)+(17) = ?
Find what's the sum of 16/15 and 17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 15), and find the product of both denominators of Fraction A and Fraction B (15 x 1) and rewrite the equation as like the below:
= (16 x 1) + (17 x 15)/(15 x 1)

step 3 Simplify and rewrite the fraction:
= (16 + 255)/15
16/15 + 17 = 271/15

Hence,
16/15 plus 17 in fraction is 271/15