17/16 + 16/19 as a fraction

Learn how to find what is 17/16 plus 16/19 in fraction form just in a few minutes. We have covered the easiest method to write 17/16 + 16/19 as a fraction and decimal.

Summary: 17/16 plus 16/19 = 579/304
Since both fractions have unequal denominators, 17/16 plus 16/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/16 and fraction 16/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 16 and 19. 304 is the LCM of 16 and 19. Multiplying the LCM 304 with the numerators and denominators of both fractions (17/16 x 304/304) + (16/19 x 304/304), and simplify further in order to have the common denominator. So the equivalent fraction for 17/16 is 323/304 and for 16/19 is 256/304. By simplifying this fraction addition 323/304 + 256/304, it becomes 579/304.

CALCULATION: 17/16 + 16/19 as a fraction
17/16 + 16/19 = (?)
17/16 + 16/19 = [(17 x 19) + (16 x 16)]/(16 x 19)
= (323 + 256)/304
= 579/304
17/16 + 16/19 = 579/304
17/16 plus 16/19 as a fraction is 579/304.

where
17/16 is a improper fraction as an addend,
16/19 is a proper fraction as an addend,
579/304 is the sum of 17/16 and 16/19.

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17/16 plus 16/19 as a decimal
17/16 + 16/19 = 579/304
579/304 = 1.9046
(17/16) + (16/19) as a decimal is 1.9046

where
1.9046 is the sum of 17/16 and 16/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/16 and 16/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/16 plus 16/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/16) + (16/19) using LCM Method:
What is 17/16 plus 16/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/16
Fraction B: 16/19

What to be found?
(17/16) + (16/19) = ?
Find what's the sum of 17/16 and 16/19.

step 2 Compare the denominators of fractions 17/16 and 16/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/16 and 16/19 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 17/16 and 16/19:
The LCM of 16 and 19 is 304.

step 4 Write the fractions 17/16 and 16/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/16 + 16/19
= [(17 x 304)/(16 x 304)] + [(16 x 304)/(19 x 304)]

step 5 Simplify the expression to have common denominator:
= 323/304 + 256/304

step 6 Take the common values out and rewrite the above expression like the below:
= 1/304 x (323/1 + 256/1)
= 1/304 x (323 + 256)

step 7Simplify the above expression further:
= 1/304 x 579
= 579/304
17/16 + 16/19 = 579/304

Hence,
17/16 plus 16/19 as a fraction is 579/304.

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17/16 + 16/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/16
Fraction B: 16/19

What to be found?
(17/16)+(16/19) = ?
Find what's the sum of 17/16 and 16/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 19), find the product of numerator of Fraction B and denominator of Fraction A (16 x 16), and find the product of both denominators of Fraction A and Fraction B (16 x 19) and rewrite the equation as like the below:
= (17 x 19) + (16 x 16)/(16 x 19)

step 3 Simplify and rewrite the fraction:
= (323 + 256)/304
17/16 + 16/19 = 579/304

Hence,
17/16 plus 16/19 in fraction is 579/304