9/5 + 1/18 as a fraction

Learn how to find what is 9/5 plus 1/18 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 + 1/18 as a fraction and decimal.

Summary: 9/5 plus 1/18 = 167/90
Since both fractions have unequal denominators, 9/5 plus 1/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 1/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 18. 90 is the LCM of 5 and 18. Multiplying the LCM 90 with the numerators and denominators of both fractions (9/5 x 90/90) + (1/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 162/90 and for 1/18 is 5/90. By simplifying this fraction addition 162/90 + 5/90, it becomes 167/90.

CALCULATION: 9/5 + 1/18 as a fraction
9/5 + 1/18 = (?)
9/5 + 1/18 = [(9 x 18) + (1 x 5)]/(5 x 18)
= (162 + 5)/90
= 167/90
9/5 + 1/18 = 167/90
9/5 plus 1/18 as a fraction is 167/90.

where
9/5 is a improper fraction as an addend,
1/18 is a proper fraction as an addend,
167/90 is the sum of 9/5 and 1/18.

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9/5 plus 1/18 as a decimal
9/5 + 1/18 = 167/90
167/90 = 1.8556
(9/5) + (1/18) as a decimal is 1.8556

where
1.8556 is the sum of 9/5 and 1/18.

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

(9/5) + (1/18) using LCM Method:
What is 9/5 plus 1/18 as a fraction?

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

What to be found?
(9/5) + (1/18) = ?
Find what's the sum of 9/5 and 1/18.

step 2 Compare the denominators of fractions 9/5 and 1/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 1/18 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 9/5 and 1/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 9/5 and 1/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 + 1/18
= [(9 x 90)/(5 x 90)] + [(1 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 162/90 + 5/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (162/1 + 5/1)
= 1/90 x (162 + 5)

step 7Simplify the above expression further:
= 1/90 x 167
= 167/90
9/5 + 1/18 = 167/90

Hence,
9/5 plus 1/18 as a fraction is 167/90.

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

What to be found?
(9/5)+(1/18) = ?
Find what's the sum of 9/5 and 1/18.

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 (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 18) and rewrite the equation as like the below:
= (9 x 18) + (1 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (162 + 5)/90
9/5 + 1/18 = 167/90

Hence,
9/5 plus 1/18 in fraction is 167/90