5/7 + 3/19 as a fraction

Learn how to find what is 5/7 plus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 3/19 as a fraction and decimal.

Summary: 5/7 plus 3/19 = 116/133
Since both fractions have unequal denominators, 5/7 plus 3/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 3/19 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 (5/7 x 133/133) + (3/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 95/133 and for 3/19 is 21/133. By simplifying this fraction addition 95/133 + 21/133, it becomes 116/133.

Pie Chart Representation: 5/7 + 3/19 = 116/133

CALCULATION: 5/7 + 3/19 as a fraction
5/7 + 3/19 = (?)
5/7 + 3/19 = [(5 x 19) + (3 x 7)]/(7 x 19)
= (95 + 21)/133
= 116/133
5/7 + 3/19 = 116/133
5/7 plus 3/19 as a fraction is 116/133.

where
5/7 is a proper fraction as an addend,
3/19 is a proper fraction as an addend,
116/133 is the sum of 5/7 and 3/19.

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5/7 plus 3/19 as a decimal
5/7 + 3/19 = 116/133
116/133 = 0.8722
(5/7) + (3/19) as a decimal is 0.8722

where
0.8722 is the sum of 5/7 and 3/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 3/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 3/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/7) + (3/19) using LCM Method:
What is 5/7 plus 3/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 3/19

What to be found?
(5/7) + (3/19) = ?
Find what's the sum of 5/7 and 3/19.

step 2 Compare the denominators of fractions 5/7 and 3/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 3/19 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 5/7 and 3/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 5/7 and 3/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 + 3/19
= [(5 x 133)/(7 x 133)] + [(3 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 95/133 + 21/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (95/1 + 21/1)
= 1/133 x (95 + 21)

step 7Simplify the above expression further:
= 1/133 x 116
= 116/133
5/7 + 3/19 = 116/133

Hence,
5/7 plus 3/19 as a fraction is 116/133.

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5/7 + 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 3/19

What to be found?
(5/7)+(3/19) = ?
Find what's the sum of 5/7 and 3/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 19), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (5 x 19) + (3 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (95 + 21)/133
5/7 + 3/19 = 116/133

Hence,
5/7 plus 3/19 in fraction is 116/133