7/9 + 4/15 as a fraction

Learn how to find what is 7/9 plus 4/15 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 4/15 as a fraction and decimal.

Summary: 7/9 plus 4/15 = 47/45
Since both fractions have unequal denominators, 7/9 plus 4/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 4/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (7/9 x 45/45) + (4/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 35/45 and for 4/15 is 12/45. By simplifying this fraction addition 35/45 + 12/45, it becomes 47/45.

CALCULATION: 7/9 + 4/15 as a fraction
7/9 + 4/15 = (?)
7/9 + 4/15 = [(7 x 15) + (4 x 9)]/(9 x 15)
= (105 + 36)/135
= 141/135
= (3 x 47)/(3 x 45)
= 47/45
7/9 + 4/15 = 47/45
7/9 plus 4/15 as a fraction is 47/45.

where
7/9 is a proper fraction as an addend,
4/15 is a proper fraction as an addend,
47/45 is the sum of 7/9 and 4/15.

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7/9 plus 4/15 as a decimal
7/9 + 4/15 = 47/45
47/45 = 1.0444
(7/9) + (4/15) as a decimal is 1.0444

where
1.0444 is the sum of 7/9 and 4/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 4/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 4/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/9) + (4/15) using LCM Method:
What is 7/9 plus 4/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 4/15

What to be found?
(7/9) + (4/15) = ?
Find what's the sum of 7/9 and 4/15.

step 2 Compare the denominators of fractions 7/9 and 4/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 4/15 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 7/9 and 4/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 7/9 and 4/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 + 4/15
= [(7 x 45)/(9 x 45)] + [(4 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 35/45 + 12/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (35/1 + 12/1)
= 1/45 x (35 + 12)

step 7Simplify the above expression further:
= 1/45 x 47
= 47/45
7/9 + 4/15 = 47/45

Hence,
7/9 plus 4/15 as a fraction is 47/45.

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7/9 + 4/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 4/15

What to be found?
(7/9)+(4/15) = ?
Find what's the sum of 7/9 and 4/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 15), find the product of numerator of Fraction B and denominator of Fraction A (4 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 15) and rewrite the equation as like the below:
= (7 x 15) + (4 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (105 + 36)/135
= 141/135
= 47/45
7/9 + 4/15 = 47/45

Hence,
7/9 plus 4/15 in fraction is 47/45