18/17 + 15/16 as a fraction

Learn how to find what is 18/17 plus 15/16 in fraction form just in a few minutes. We have covered the easiest method to write 18/17 + 15/16 as a fraction and decimal.

Summary: 18/17 plus 15/16 = 543/272
Since both fractions have unequal denominators, 18/17 plus 15/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/17 and fraction 15/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 16. 272 is the LCM of 17 and 16. Multiplying the LCM 272 with the numerators and denominators of both fractions (18/17 x 272/272) + (15/16 x 272/272), and simplify further in order to have the common denominator. So the equivalent fraction for 18/17 is 288/272 and for 15/16 is 255/272. By simplifying this fraction addition 288/272 + 255/272, it becomes 543/272.

CALCULATION: 18/17 + 15/16 as a fraction
18/17 + 15/16 = (?)
18/17 + 15/16 = [(18 x 16) + (15 x 17)]/(17 x 16)
= (288 + 255)/272
= 543/272
18/17 + 15/16 = 543/272
18/17 plus 15/16 as a fraction is 543/272.

where
18/17 is a improper fraction as an addend,
15/16 is a proper fraction as an addend,
543/272 is the sum of 18/17 and 15/16.

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18/17 plus 15/16 as a decimal
18/17 + 15/16 = 543/272
543/272 = 1.9963
(18/17) + (15/16) as a decimal is 1.9963

where
1.9963 is the sum of 18/17 and 15/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/17 and 15/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/17 plus 15/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/17) + (15/16) using LCM Method:
What is 18/17 plus 15/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/17
Fraction B: 15/16

What to be found?
(18/17) + (15/16) = ?
Find what's the sum of 18/17 and 15/16.

step 2 Compare the denominators of fractions 18/17 and 15/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/17 and 15/16 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 18/17 and 15/16:
The LCM of 17 and 16 is 272.

step 4 Write the fractions 18/17 and 15/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/17 + 15/16
= [(18 x 272)/(17 x 272)] + [(15 x 272)/(16 x 272)]

step 5 Simplify the expression to have common denominator:
= 288/272 + 255/272

step 6 Take the common values out and rewrite the above expression like the below:
= 1/272 x (288/1 + 255/1)
= 1/272 x (288 + 255)

step 7Simplify the above expression further:
= 1/272 x 543
= 543/272
18/17 + 15/16 = 543/272

Hence,
18/17 plus 15/16 as a fraction is 543/272.

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18/17 + 15/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/17
Fraction B: 15/16

What to be found?
(18/17)+(15/16) = ?
Find what's the sum of 18/17 and 15/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 16), find the product of numerator of Fraction B and denominator of Fraction A (15 x 17), and find the product of both denominators of Fraction A and Fraction B (17 x 16) and rewrite the equation as like the below:
= (18 x 16) + (15 x 17)/(17 x 16)

step 3 Simplify and rewrite the fraction:
= (288 + 255)/272
18/17 + 15/16 = 543/272

Hence,
18/17 plus 15/16 in fraction is 543/272