6/7 + 4/9 as a fraction

Learn how to find what is 6/7 plus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 4/9 as a fraction and decimal.

Summary: 6/7 plus 4/9 = 82/63
Since both fractions have unequal denominators, 6/7 plus 4/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 4/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (6/7 x 63/63) + (4/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 54/63 and for 4/9 is 28/63. By simplifying this fraction addition 54/63 + 28/63, it becomes 82/63.

CALCULATION: 6/7 + 4/9 as a fraction
6/7 + 4/9 = (?)
6/7 + 4/9 = [(6 x 9) + (4 x 7)]/(7 x 9)
= (54 + 28)/63
= 82/63
6/7 + 4/9 = 82/63
6/7 plus 4/9 as a fraction is 82/63.

where
6/7 is a proper fraction as an addend,
4/9 is a proper fraction as an addend,
82/63 is the sum of 6/7 and 4/9.

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6/7 plus 4/9 as a decimal
6/7 + 4/9 = 82/63
82/63 = 1.3016
(6/7) + (4/9) as a decimal is 1.3016

where
1.3016 is the sum of 6/7 and 4/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 4/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 4/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (4/9) using LCM Method:
What is 6/7 plus 4/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/9

What to be found?
(6/7) + (4/9) = ?
Find what's the sum of 6/7 and 4/9.

step 2 Compare the denominators of fractions 6/7 and 4/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 4/9 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 4/9:
The LCM of 7 and 9 is 63.

step 4 Write the fractions 6/7 and 4/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 4/9
= [(6 x 63)/(7 x 63)] + [(4 x 63)/(9 x 63)]

step 5 Simplify the expression to have common denominator:
= 54/63 + 28/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (54/1 + 28/1)
= 1/63 x (54 + 28)

step 7Simplify the above expression further:
= 1/63 x 82
= 82/63
6/7 + 4/9 = 82/63

Hence,
6/7 plus 4/9 as a fraction is 82/63.

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6/7 + 4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/9

What to be found?
(6/7)+(4/9) = ?
Find what's the sum of 6/7 and 4/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 9), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (6 x 9) + (4 x 7)/(7 x 9)

step 3 Simplify and rewrite the fraction:
= (54 + 28)/63
6/7 + 4/9 = 82/63

Hence,
6/7 plus 4/9 in fraction is 82/63