17/5 + 7/18 as a fraction

Learn how to find what is 17/5 plus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 + 7/18 as a fraction and decimal.

Summary: 17/5 plus 7/18 = 341/90
Since both fractions have unequal denominators, 17/5 plus 7/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 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 (17/5 x 90/90) + (7/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 306/90 and for 7/18 is 35/90. By simplifying this fraction addition 306/90 + 35/90, it becomes 341/90.

CALCULATION: 17/5 + 7/18 as a fraction
17/5 + 7/18 = (?)
17/5 + 7/18 = [(17 x 18) + (7 x 5)]/(5 x 18)
= (306 + 35)/90
= 341/90
17/5 + 7/18 = 341/90
17/5 plus 7/18 as a fraction is 341/90.

where
17/5 is a improper fraction as an addend,
7/18 is a proper fraction as an addend,
341/90 is the sum of 17/5 and 7/18.

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17/5 plus 7/18 as a decimal
17/5 + 7/18 = 341/90
341/90 = 3.7889
(17/5) + (7/18) as a decimal is 3.7889

where
3.7889 is the sum of 17/5 and 7/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 7/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/5 plus 7/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/5) + (7/18) using LCM Method:
What is 17/5 plus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 7/18

What to be found?
(17/5) + (7/18) = ?
Find what's the sum of 17/5 and 7/18.

step 2 Compare the denominators of fractions 17/5 and 7/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 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 17/5 and 7/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 17/5 and 7/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 7/18
= [(17 x 90)/(5 x 90)] + [(7 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 306/90 + 35/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (306/1 + 35/1)
= 1/90 x (306 + 35)

step 7Simplify the above expression further:
= 1/90 x 341
= 341/90
17/5 + 7/18 = 341/90

Hence,
17/5 plus 7/18 as a fraction is 341/90.

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17/5 + 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 7/18

What to be found?
(17/5)+(7/18) = ?
Find what's the sum of 17/5 and 7/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 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:
= (17 x 18) + (7 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (306 + 35)/90
17/5 + 7/18 = 341/90

Hence,
17/5 plus 7/18 in fraction is 341/90