6/7 + 14/19 as a fraction

Learn how to find what is 6/7 plus 14/19 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 14/19 as a fraction and decimal.

Summary: 6/7 plus 14/19 = 212/133
Since both fractions have unequal denominators, 6/7 plus 14/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 14/19 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 (6/7 x 133/133) + (14/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 114/133 and for 14/19 is 98/133. By simplifying this fraction addition 114/133 + 98/133, it becomes 212/133.

CALCULATION: 6/7 + 14/19 as a fraction
6/7 + 14/19 = (?)
6/7 + 14/19 = [(6 x 19) + (14 x 7)]/(7 x 19)
= (114 + 98)/133
= 212/133
6/7 + 14/19 = 212/133
6/7 plus 14/19 as a fraction is 212/133.

where
6/7 is a proper fraction as an addend,
14/19 is a proper fraction as an addend,
212/133 is the sum of 6/7 and 14/19.

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6/7 plus 14/19 as a decimal
6/7 + 14/19 = 212/133
212/133 = 1.594
(6/7) + (14/19) as a decimal is 1.594

where
1.594 is the sum of 6/7 and 14/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 14/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 14/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (14/19) using LCM Method:
What is 6/7 plus 14/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 14/19

What to be found?
(6/7) + (14/19) = ?
Find what's the sum of 6/7 and 14/19.

step 2 Compare the denominators of fractions 6/7 and 14/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 14/19 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 6/7 and 14/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 6/7 and 14/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 14/19
= [(6 x 133)/(7 x 133)] + [(14 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 114/133 + 98/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (114/1 + 98/1)
= 1/133 x (114 + 98)

step 7Simplify the above expression further:
= 1/133 x 212
= 212/133
6/7 + 14/19 = 212/133

Hence,
6/7 plus 14/19 as a fraction is 212/133.

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6/7 + 14/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 14/19

What to be found?
(6/7)+(14/19) = ?
Find what's the sum of 6/7 and 14/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 19), find the product of numerator of Fraction B and denominator of Fraction A (14 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:
= (6 x 19) + (14 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (114 + 98)/133
6/7 + 14/19 = 212/133

Hence,
6/7 plus 14/19 in fraction is 212/133