3/4 + 5/9 as a fraction

Learn how to find what is 3/4 plus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 5/9 as a fraction and decimal.

Summary: 3/4 plus 5/9 = 47/36
Since both fractions have unequal denominators, 3/4 plus 5/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 9. 36 is the LCM of 4 and 9. Multiplying the LCM 36 with the numerators and denominators of both fractions (3/4 x 36/36) + (5/9 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 27/36 and for 5/9 is 20/36. By simplifying this fraction addition 27/36 + 20/36, it becomes 47/36.

CALCULATION: 3/4 + 5/9 as a fraction
3/4 + 5/9 = (?)
3/4 + 5/9 = [(3 x 9) + (5 x 4)]/(4 x 9)
= (27 + 20)/36
= 47/36
3/4 + 5/9 = 47/36
3/4 plus 5/9 as a fraction is 47/36.

where
3/4 is a proper fraction as an addend,
5/9 is a proper fraction as an addend,
47/36 is the sum of 3/4 and 5/9.

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3/4 plus 5/9 as a decimal
3/4 + 5/9 = 47/36
47/36 = 1.3056
(3/4) + (5/9) as a decimal is 1.3056

where
1.3056 is the sum of 3/4 and 5/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/4) + (5/9) using LCM Method:
What is 3/4 plus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/9

What to be found?
(3/4) + (5/9) = ?
Find what's the sum of 3/4 and 5/9.

step 2 Compare the denominators of fractions 3/4 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 5/9 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 3/4 and 5/9:
The LCM of 4 and 9 is 36.

step 4 Write the fractions 3/4 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 + 5/9
= [(3 x 36)/(4 x 36)] + [(5 x 36)/(9 x 36)]

step 5 Simplify the expression to have common denominator:
= 27/36 + 20/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (27/1 + 20/1)
= 1/36 x (27 + 20)

step 7Simplify the above expression further:
= 1/36 x 47
= 47/36
3/4 + 5/9 = 47/36

Hence,
3/4 plus 5/9 as a fraction is 47/36.

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3/4 + 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/9

What to be found?
(3/4)+(5/9) = ?
Find what's the sum of 3/4 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 9) and rewrite the equation as like the below:
= (3 x 9) + (5 x 4)/(4 x 9)

step 3 Simplify and rewrite the fraction:
= (27 + 20)/36
3/4 + 5/9 = 47/36

Hence,
3/4 plus 5/9 in fraction is 47/36