9/4 + 17/8 as a fraction

Learn how to find what is 9/4 plus 17/8 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 17/8 as a fraction and decimal.

Summary: 9/4 plus 17/8 = 35/8
Since both fractions have unequal denominators, 9/4 plus 17/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 17/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 8. 8 is the LCM of 4 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (9/4 x 8/8) + (17/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 18/8 and for 17/8 is 17/8. By simplifying this fraction addition 18/8 + 17/8, it becomes 35/8.

CALCULATION: 9/4 + 17/8 as a fraction
9/4 + 17/8 = (?)
9/4 + 17/8 = [(9 x 8) + (17 x 4)]/(4 x 8)
= (72 + 68)/32
= 140/32
= (4 x 35)/(4 x 8)
= 35/8
9/4 + 17/8 = 35/8
9/4 plus 17/8 as a fraction is 35/8.

where
9/4 is a improper fraction as an addend,
17/8 is a improper fraction as an addend,
35/8 is the sum of 9/4 and 17/8.

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9/4 plus 17/8 as a decimal
9/4 + 17/8 = 35/8
35/8 = 4.375
(9/4) + (17/8) as a decimal is 4.375

where
4.375 is the sum of 9/4 and 17/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 17/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 17/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (17/8) using LCM Method:
What is 9/4 plus 17/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 17/8

What to be found?
(9/4) + (17/8) = ?
Find what's the sum of 9/4 and 17/8.

step 2 Compare the denominators of fractions 9/4 and 17/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 17/8 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 9/4 and 17/8:
The LCM of 4 and 8 is 8.

step 4 Write the fractions 9/4 and 17/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 17/8
= [(9 x 8)/(4 x 8)] + [(17 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 18/8 + 17/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (18/1 + 17/1)
= 1/8 x (18 + 17)

step 7Simplify the above expression further:
= 1/8 x 35
= 35/8
9/4 + 17/8 = 35/8

Hence,
9/4 plus 17/8 as a fraction is 35/8.

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9/4 + 17/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 17/8

What to be found?
(9/4)+(17/8) = ?
Find what's the sum of 9/4 and 17/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 8), find the product of numerator of Fraction B and denominator of Fraction A (17 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 8) and rewrite the equation as like the below:
= (9 x 8) + (17 x 4)/(4 x 8)

step 3 Simplify and rewrite the fraction:
= (72 + 68)/32
= 140/32
= 35/8
9/4 + 17/8 = 35/8

Hence,
9/4 plus 17/8 in fraction is 35/8