13/2 + 17/18 as a fraction

Learn how to find what is 13/2 plus 17/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 17/18 as a fraction and decimal.

Summary: 13/2 plus 17/18 = 67/9
Since both fractions have unequal denominators, 13/2 plus 17/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 17/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 18. 18 is the LCM of 2 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (13/2 x 18/18) + (17/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 117/18 and for 17/18 is 17/18. By simplifying this fraction addition 117/18 + 17/18, it becomes 134/18.

CALCULATION: 13/2 + 17/18 as a fraction
13/2 + 17/18 = (?)
13/2 + 17/18 = [(13 x 18) + (17 x 2)]/(2 x 18)
= (234 + 34)/36
= 268/36
= (4 x 67)/(4 x 9)
= 67/9
13/2 + 17/18 = 67/9
13/2 plus 17/18 as a fraction is 67/9.

where
13/2 is a improper fraction as an addend,
17/18 is a proper fraction as an addend,
67/9 is the sum of 13/2 and 17/18.

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13/2 plus 17/18 as a decimal
13/2 + 17/18 = 67/9
67/9 = 7.4444
(13/2) + (17/18) as a decimal is 7.4444

where
7.4444 is the sum of 13/2 and 17/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 17/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/2 plus 17/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (17/18) using LCM Method:
What is 13/2 plus 17/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 17/18

What to be found?
(13/2) + (17/18) = ?
Find what's the sum of 13/2 and 17/18.

step 2 Compare the denominators of fractions 13/2 and 17/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 17/18 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 13/2 and 17/18:
The LCM of 2 and 18 is 18.

step 4 Write the fractions 13/2 and 17/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 17/18
= [(13 x 18)/(2 x 18)] + [(17 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 117/18 + 17/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (117/1 + 17/1)
= 1/18 x (117 + 17)

step 7Simplify the above expression further:
= 1/18 x 134
= 134/18
= 67/9
13/2 + 17/18 = 67/9

Hence,
13/2 plus 17/18 as a fraction is 67/9.

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13/2 + 17/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 17/18

What to be found?
(13/2)+(17/18) = ?
Find what's the sum of 13/2 and 17/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 18), find the product of numerator of Fraction B and denominator of Fraction A (17 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 18) and rewrite the equation as like the below:
= (13 x 18) + (17 x 2)/(2 x 18)

step 3 Simplify and rewrite the fraction:
= (234 + 34)/36
= 268/36
= 67/9
13/2 + 17/18 = 67/9

Hence,
13/2 plus 17/18 in fraction is 67/9