13/6 + 7/18 as a fraction

Learn how to find what is 13/6 plus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/6 + 7/18 as a fraction and decimal.

Summary: 13/6 plus 7/18 = 23/9
Since both fractions have unequal denominators, 13/6 plus 7/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/6 and fraction 7/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 18. 18 is the LCM of 6 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (13/6 x 18/18) + (7/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 13/6 is 39/18 and for 7/18 is 7/18. By simplifying this fraction addition 39/18 + 7/18, it becomes 46/18.

CALCULATION: 13/6 + 7/18 as a fraction
13/6 + 7/18 = (?)
13/6 + 7/18 = [(13 x 18) + (7 x 6)]/(6 x 18)
= (234 + 42)/108
= 276/108
= (12 x 23)/(12 x 9)
= 23/9
13/6 + 7/18 = 23/9
13/6 plus 7/18 as a fraction is 23/9.

where
13/6 is a improper fraction as an addend,
7/18 is a proper fraction as an addend,
23/9 is the sum of 13/6 and 7/18.

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13/6 plus 7/18 as a decimal
13/6 + 7/18 = 23/9
23/9 = 2.5556
(13/6) + (7/18) as a decimal is 2.5556

where
2.5556 is the sum of 13/6 and 7/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/6 and 7/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/6 plus 7/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/6) + (7/18) using LCM Method:
What is 13/6 plus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 7/18

What to be found?
(13/6) + (7/18) = ?
Find what's the sum of 13/6 and 7/18.

step 2 Compare the denominators of fractions 13/6 and 7/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/6 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 13/6 and 7/18:
The LCM of 6 and 18 is 18.

step 4 Write the fractions 13/6 and 7/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/6 + 7/18
= [(13 x 18)/(6 x 18)] + [(7 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 39/18 + 7/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (39/1 + 7/1)
= 1/18 x (39 + 7)

step 7Simplify the above expression further:
= 1/18 x 46
= 46/18
= 23/9
13/6 + 7/18 = 23/9

Hence,
13/6 plus 7/18 as a fraction is 23/9.

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13/6 + 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 7/18

What to be found?
(13/6)+(7/18) = ?
Find what's the sum of 13/6 and 7/18.

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 (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 18) and rewrite the equation as like the below:
= (13 x 18) + (7 x 6)/(6 x 18)

step 3 Simplify and rewrite the fraction:
= (234 + 42)/108
= 276/108
= 23/9
13/6 + 7/18 = 23/9

Hence,
13/6 plus 7/18 in fraction is 23/9