9/5 + 5/4 as a fraction

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

Summary: 9/5 plus 5/4 = 61/20
Since both fractions have unequal denominators, 9/5 plus 5/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 4. 20 is the LCM of 5 and 4. Multiplying the LCM 20 with the numerators and denominators of both fractions (9/5 x 20/20) + (5/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 36/20 and for 5/4 is 25/20. By simplifying this fraction addition 36/20 + 25/20, it becomes 61/20.

CALCULATION: 9/5 + 5/4 as a fraction
9/5 + 5/4 = (?)
9/5 + 5/4 = [(9 x 4) + (5 x 5)]/(5 x 4)
= (36 + 25)/20
= 61/20
9/5 + 5/4 = 61/20
9/5 plus 5/4 as a fraction is 61/20.

where
9/5 is a improper fraction as an addend,
5/4 is a improper fraction as an addend,
61/20 is the sum of 9/5 and 5/4.

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9/5 plus 5/4 as a decimal
9/5 + 5/4 = 61/20
61/20 = 3.05
(9/5) + (5/4) as a decimal is 3.05

where
3.05 is the sum of 9/5 and 5/4.

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

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

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

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

step 2 Compare the denominators of fractions 9/5 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 5/4 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 9/5 and 5/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 9/5 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 + 5/4
= [(9 x 20)/(5 x 20)] + [(5 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 36/20 + 25/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (36/1 + 25/1)
= 1/20 x (36 + 25)

step 7Simplify the above expression further:
= 1/20 x 61
= 61/20
9/5 + 5/4 = 61/20

Hence,
9/5 plus 5/4 as a fraction is 61/20.

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

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

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

step 3 Simplify and rewrite the fraction:
= (36 + 25)/20
9/5 + 5/4 = 61/20

Hence,
9/5 plus 5/4 in fraction is 61/20