14/5 + 18/17 as a fraction

Learn how to find what is 14/5 plus 18/17 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 18/17 as a fraction and decimal.

Summary: 14/5 plus 18/17 = 328/85
Since both fractions have unequal denominators, 14/5 plus 18/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 18/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (14/5 x 85/85) + (18/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 238/85 and for 18/17 is 90/85. By simplifying this fraction addition 238/85 + 90/85, it becomes 328/85.

CALCULATION: 14/5 + 18/17 as a fraction
14/5 + 18/17 = (?)
14/5 + 18/17 = [(14 x 17) + (18 x 5)]/(5 x 17)
= (238 + 90)/85
= 328/85
14/5 + 18/17 = 328/85
14/5 plus 18/17 as a fraction is 328/85.

where
14/5 is a improper fraction as an addend,
18/17 is a improper fraction as an addend,
328/85 is the sum of 14/5 and 18/17.

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14/5 plus 18/17 as a decimal
14/5 + 18/17 = 328/85
328/85 = 3.8588
(14/5) + (18/17) as a decimal is 3.8588

where
3.8588 is the sum of 14/5 and 18/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/5 and 18/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/5 plus 18/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/5) + (18/17) using LCM Method:
What is 14/5 plus 18/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 18/17

What to be found?
(14/5) + (18/17) = ?
Find what's the sum of 14/5 and 18/17.

step 2 Compare the denominators of fractions 14/5 and 18/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/5 and 18/17 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 14/5 and 18/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 14/5 and 18/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 18/17
= [(14 x 85)/(5 x 85)] + [(18 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 238/85 + 90/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (238/1 + 90/1)
= 1/85 x (238 + 90)

step 7Simplify the above expression further:
= 1/85 x 328
= 328/85
14/5 + 18/17 = 328/85

Hence,
14/5 plus 18/17 as a fraction is 328/85.

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14/5 + 18/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 18/17

What to be found?
(14/5)+(18/17) = ?
Find what's the sum of 14/5 and 18/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 17), find the product of numerator of Fraction B and denominator of Fraction A (18 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:
= (14 x 17) + (18 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:
= (238 + 90)/85
14/5 + 18/17 = 328/85

Hence,
14/5 plus 18/17 in fraction is 328/85