12/5 + 4/9 as a fraction

Learn how to find what is 12/5 plus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 + 4/9 as a fraction and decimal.

Summary: 12/5 plus 4/9 = 128/45
Since both fractions have unequal denominators, 12/5 plus 4/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 4/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 9. 45 is the LCM of 5 and 9. Multiplying the LCM 45 with the numerators and denominators of both fractions (12/5 x 45/45) + (4/9 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 108/45 and for 4/9 is 20/45. By simplifying this fraction addition 108/45 + 20/45, it becomes 128/45.

CALCULATION: 12/5 + 4/9 as a fraction
12/5 + 4/9 = (?)
12/5 + 4/9 = [(12 x 9) + (4 x 5)]/(5 x 9)
= (108 + 20)/45
= 128/45
12/5 + 4/9 = 128/45
12/5 plus 4/9 as a fraction is 128/45.

where
12/5 is a improper fraction as an addend,
4/9 is a proper fraction as an addend,
128/45 is the sum of 12/5 and 4/9.

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12/5 plus 4/9 as a decimal
12/5 + 4/9 = 128/45
128/45 = 2.8444
(12/5) + (4/9) as a decimal is 2.8444

where
2.8444 is the sum of 12/5 and 4/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/5 and 4/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/5 plus 4/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/5) + (4/9) using LCM Method:
What is 12/5 plus 4/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 4/9

What to be found?
(12/5) + (4/9) = ?
Find what's the sum of 12/5 and 4/9.

step 2 Compare the denominators of fractions 12/5 and 4/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 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 12/5 and 4/9:
The LCM of 5 and 9 is 45.

step 4 Write the fractions 12/5 and 4/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 + 4/9
= [(12 x 45)/(5 x 45)] + [(4 x 45)/(9 x 45)]

step 5 Simplify the expression to have common denominator:
= 108/45 + 20/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (108/1 + 20/1)
= 1/45 x (108 + 20)

step 7Simplify the above expression further:
= 1/45 x 128
= 128/45
12/5 + 4/9 = 128/45

Hence,
12/5 plus 4/9 as a fraction is 128/45.

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12/5 + 4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 4/9

What to be found?
(12/5)+(4/9) = ?
Find what's the sum of 12/5 and 4/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 9), find the product of numerator of Fraction B and denominator of Fraction A (4 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (12 x 9) + (4 x 5)/(5 x 9)

step 3 Simplify and rewrite the fraction:
= (108 + 20)/45
12/5 + 4/9 = 128/45

Hence,
12/5 plus 4/9 in fraction is 128/45