9/8 + 5/18 as a fraction

Learn how to find what is 9/8 plus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 + 5/18 as a fraction and decimal.

Summary: 9/8 plus 5/18 = 101/72
Since both fractions have unequal denominators, 9/8 plus 5/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 5/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 18. 72 is the LCM of 8 and 18. Multiplying the LCM 72 with the numerators and denominators of both fractions (9/8 x 72/72) + (5/18 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 81/72 and for 5/18 is 20/72. By simplifying this fraction addition 81/72 + 20/72, it becomes 101/72.

CALCULATION: 9/8 + 5/18 as a fraction
9/8 + 5/18 = (?)
9/8 + 5/18 = [(9 x 18) + (5 x 8)]/(8 x 18)
= (162 + 40)/144
= 202/144
= (2 x 101)/(2 x 72)
= 101/72
9/8 + 5/18 = 101/72
9/8 plus 5/18 as a fraction is 101/72.

where
9/8 is a improper fraction as an addend,
5/18 is a proper fraction as an addend,
101/72 is the sum of 9/8 and 5/18.

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9/8 plus 5/18 as a decimal
9/8 + 5/18 = 101/72
101/72 = 1.4028
(9/8) + (5/18) as a decimal is 1.4028

where
1.4028 is the sum of 9/8 and 5/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/8 and 5/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/8 plus 5/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/8) + (5/18) using LCM Method:
What is 9/8 plus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/18

What to be found?
(9/8) + (5/18) = ?
Find what's the sum of 9/8 and 5/18.

step 2 Compare the denominators of fractions 9/8 and 5/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/8 and 5/18 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 5/18:
The LCM of 8 and 18 is 72.

step 4 Write the fractions 9/8 and 5/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 + 5/18
= [(9 x 72)/(8 x 72)] + [(5 x 72)/(18 x 72)]

step 5 Simplify the expression to have common denominator:
= 81/72 + 20/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (81/1 + 20/1)
= 1/72 x (81 + 20)

step 7Simplify the above expression further:
= 1/72 x 101
= 101/72
9/8 + 5/18 = 101/72

Hence,
9/8 plus 5/18 as a fraction is 101/72.

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9/8 + 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/18

What to be found?
(9/8)+(5/18) = ?
Find what's the sum of 9/8 and 5/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 18) and rewrite the equation as like the below:
= (9 x 18) + (5 x 8)/(8 x 18)

step 3 Simplify and rewrite the fraction:
= (162 + 40)/144
= 202/144
= 101/72
9/8 + 5/18 = 101/72

Hence,
9/8 plus 5/18 in fraction is 101/72