3/5 + 7/18 as a fraction

Learn how to find what is 3/5 plus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 7/18 as a fraction and decimal.

Summary: 3/5 plus 7/18 = 89/90
Since both fractions have unequal denominators, 3/5 plus 7/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 7/18 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 (3/5 x 90/90) + (7/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 54/90 and for 7/18 is 35/90. By simplifying this fraction addition 54/90 + 35/90, it becomes 89/90.

Pie Chart Representation: 3/5 + 7/18 = 89/90

CALCULATION: 3/5 + 7/18 as a fraction
3/5 + 7/18 = (?)
3/5 + 7/18 = [(3 x 18) + (7 x 5)]/(5 x 18)
= (54 + 35)/90
= 89/90
3/5 + 7/18 = 89/90
3/5 plus 7/18 as a fraction is 89/90.

where
3/5 is a proper fraction as an addend,
7/18 is a proper fraction as an addend,
89/90 is the sum of 3/5 and 7/18.

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3/5 plus 7/18 as a decimal
3/5 + 7/18 = 89/90
89/90 = 0.9889
(3/5) + (7/18) as a decimal is 0.9889

where
0.9889 is the sum of 3/5 and 7/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 7/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 7/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/5) + (7/18) using LCM Method:
What is 3/5 plus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/18

What to be found?
(3/5) + (7/18) = ?
Find what's the sum of 3/5 and 7/18.

step 2 Compare the denominators of fractions 3/5 and 7/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 7/18 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 3/5 and 7/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 3/5 and 7/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 7/18
= [(3 x 90)/(5 x 90)] + [(7 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 54/90 + 35/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (54/1 + 35/1)
= 1/90 x (54 + 35)

step 7Simplify the above expression further:
= 1/90 x 89
= 89/90
3/5 + 7/18 = 89/90

Hence,
3/5 plus 7/18 as a fraction is 89/90.

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3/5 + 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/18

What to be found?
(3/5)+(7/18) = ?
Find what's the sum of 3/5 and 7/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 18), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (3 x 18) + (7 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (54 + 35)/90
3/5 + 7/18 = 89/90

Hence,
3/5 plus 7/18 in fraction is 89/90