9/7 + 16/19 as a fraction

Learn how to find what is 9/7 plus 16/19 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 + 16/19 as a fraction and decimal.

Summary: 9/7 plus 16/19 = 283/133
Since both fractions have unequal denominators, 9/7 plus 16/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 16/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 19. 133 is the LCM of 7 and 19. Multiplying the LCM 133 with the numerators and denominators of both fractions (9/7 x 133/133) + (16/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 171/133 and for 16/19 is 112/133. By simplifying this fraction addition 171/133 + 112/133, it becomes 283/133.

CALCULATION: 9/7 + 16/19 as a fraction
9/7 + 16/19 = (?)
9/7 + 16/19 = [(9 x 19) + (16 x 7)]/(7 x 19)
= (171 + 112)/133
= 283/133
9/7 + 16/19 = 283/133
9/7 plus 16/19 as a fraction is 283/133.

where
9/7 is a improper fraction as an addend,
16/19 is a proper fraction as an addend,
283/133 is the sum of 9/7 and 16/19.

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9/7 plus 16/19 as a decimal
9/7 + 16/19 = 283/133
283/133 = 2.1278
(9/7) + (16/19) as a decimal is 2.1278

where
2.1278 is the sum of 9/7 and 16/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/7 and 16/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/7 plus 16/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/7) + (16/19) using LCM Method:
What is 9/7 plus 16/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 16/19

What to be found?
(9/7) + (16/19) = ?
Find what's the sum of 9/7 and 16/19.

step 2 Compare the denominators of fractions 9/7 and 16/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/7 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 9/7 and 16/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 9/7 and 16/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 + 16/19
= [(9 x 133)/(7 x 133)] + [(16 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 171/133 + 112/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (171/1 + 112/1)
= 1/133 x (171 + 112)

step 7Simplify the above expression further:
= 1/133 x 283
= 283/133
9/7 + 16/19 = 283/133

Hence,
9/7 plus 16/19 as a fraction is 283/133.

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9/7 + 16/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 16/19

What to be found?
(9/7)+(16/19) = ?
Find what's the sum of 9/7 and 16/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 19), find the product of numerator of Fraction B and denominator of Fraction A (16 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 19) and rewrite the equation as like the below:
= (9 x 19) + (16 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (171 + 112)/133
9/7 + 16/19 = 283/133

Hence,
9/7 plus 16/19 in fraction is 283/133