9/8 + 3/5 as a fraction

Learn how to find what is 9/8 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 + 3/5 as a fraction and decimal.

Summary: 9/8 plus 3/5 = 69/40
Since both fractions have unequal denominators, 9/8 plus 3/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 3/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 5. 40 is the LCM of 8 and 5. Multiplying the LCM 40 with the numerators and denominators of both fractions (9/8 x 40/40) + (3/5 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 45/40 and for 3/5 is 24/40. By simplifying this fraction addition 45/40 + 24/40, it becomes 69/40.

CALCULATION: 9/8 + 3/5 as a fraction
9/8 + 3/5 = (?)
9/8 + 3/5 = [(9 x 5) + (3 x 8)]/(8 x 5)
= (45 + 24)/40
= 69/40
9/8 + 3/5 = 69/40
9/8 plus 3/5 as a fraction is 69/40.

where
9/8 is a improper fraction as an addend,
3/5 is a proper fraction as an addend,
69/40 is the sum of 9/8 and 3/5.

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9/8 plus 3/5 as a decimal
9/8 + 3/5 = 69/40
69/40 = 1.725
(9/8) + (3/5) as a decimal is 1.725

where
1.725 is the sum of 9/8 and 3/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/8 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/8 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/8) + (3/5) using LCM Method:
What is 9/8 plus 3/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 3/5

What to be found?
(9/8) + (3/5) = ?
Find what's the sum of 9/8 and 3/5.

step 2 Compare the denominators of fractions 9/8 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/8 and 3/5 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 9/8 and 3/5:
The LCM of 8 and 5 is 40.

step 4 Write the fractions 9/8 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 + 3/5
= [(9 x 40)/(8 x 40)] + [(3 x 40)/(5 x 40)]

step 5 Simplify the expression to have common denominator:
= 45/40 + 24/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (45/1 + 24/1)
= 1/40 x (45 + 24)

step 7Simplify the above expression further:
= 1/40 x 69
= 69/40
9/8 + 3/5 = 69/40

Hence,
9/8 plus 3/5 as a fraction is 69/40.

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9/8 + 3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 3/5

What to be found?
(9/8)+(3/5) = ?
Find what's the sum of 9/8 and 3/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 5) and rewrite the equation as like the below:
= (9 x 5) + (3 x 8)/(8 x 5)

step 3 Simplify and rewrite the fraction:
= (45 + 24)/40
9/8 + 3/5 = 69/40

Hence,
9/8 plus 3/5 in fraction is 69/40