5/9 + 1/4 as a fraction

Learn how to find what is 5/9 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 1/4 as a fraction and decimal.

Summary: 5/9 plus 1/4 = 29/36
Since both fractions have unequal denominators, 5/9 plus 1/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 1/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 4. 36 is the LCM of 9 and 4. Multiplying the LCM 36 with the numerators and denominators of both fractions (5/9 x 36/36) + (1/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 20/36 and for 1/4 is 9/36. By simplifying this fraction addition 20/36 + 9/36, it becomes 29/36.

Pie Chart Representation: 5/9 + 1/4 = 29/36

CALCULATION: 5/9 + 1/4 as a fraction
5/9 + 1/4 = (?)
5/9 + 1/4 = [(5 x 4) + (1 x 9)]/(9 x 4)
= (20 + 9)/36
= 29/36
5/9 + 1/4 = 29/36
5/9 plus 1/4 as a fraction is 29/36.

where
5/9 is a proper fraction as an addend,
1/4 is a proper fraction as an addend,
29/36 is the sum of 5/9 and 1/4.

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5/9 plus 1/4 as a decimal
5/9 + 1/4 = 29/36
29/36 = 0.8056
(5/9) + (1/4) as a decimal is 0.8056

where
0.8056 is the sum of 5/9 and 1/4.

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

(5/9) + (1/4) using LCM Method:
What is 5/9 plus 1/4 as a fraction?

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

What to be found?
(5/9) + (1/4) = ?
Find what's the sum of 5/9 and 1/4.

step 2 Compare the denominators of fractions 5/9 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 1/4 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 5/9 and 1/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 5/9 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 + 1/4
= [(5 x 36)/(9 x 36)] + [(1 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 20/36 + 9/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (20/1 + 9/1)
= 1/36 x (20 + 9)

step 7Simplify the above expression further:
= 1/36 x 29
= 29/36
5/9 + 1/4 = 29/36

Hence,
5/9 plus 1/4 as a fraction is 29/36.

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

What to be found?
(5/9)+(1/4) = ?
Find what's the sum of 5/9 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 4) and rewrite the equation as like the below:
= (5 x 4) + (1 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (20 + 9)/36
5/9 + 1/4 = 29/36

Hence,
5/9 plus 1/4 in fraction is 29/36