18/7 + 13/6 as a fraction

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

Summary: 18/7 plus 13/6 = 199/42
Since both fractions have unequal denominators, 18/7 plus 13/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 13/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 6. 42 is the LCM of 7 and 6. Multiplying the LCM 42 with the numerators and denominators of both fractions (18/7 x 42/42) + (13/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 108/42 and for 13/6 is 91/42. By simplifying this fraction addition 108/42 + 91/42, it becomes 199/42.

CALCULATION: 18/7 + 13/6 as a fraction
18/7 + 13/6 = (?)
18/7 + 13/6 = [(18 x 6) + (13 x 7)]/(7 x 6)
= (108 + 91)/42
= 199/42
18/7 + 13/6 = 199/42
18/7 plus 13/6 as a fraction is 199/42.

where
18/7 is a improper fraction as an addend,
13/6 is a improper fraction as an addend,
199/42 is the sum of 18/7 and 13/6.

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18/7 plus 13/6 as a decimal
18/7 + 13/6 = 199/42
199/42 = 4.7381
(18/7) + (13/6) as a decimal is 4.7381

where
4.7381 is the sum of 18/7 and 13/6.

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

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

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

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

step 2 Compare the denominators of fractions 18/7 and 13/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 13/6 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 18/7 and 13/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 18/7 and 13/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 13/6
= [(18 x 42)/(7 x 42)] + [(13 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 108/42 + 91/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (108/1 + 91/1)
= 1/42 x (108 + 91)

step 7Simplify the above expression further:
= 1/42 x 199
= 199/42
18/7 + 13/6 = 199/42

Hence,
18/7 plus 13/6 as a fraction is 199/42.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 6), find the product of numerator of Fraction B and denominator of Fraction A (13 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
= (18 x 6) + (13 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (108 + 91)/42
18/7 + 13/6 = 199/42

Hence,
18/7 plus 13/6 in fraction is 199/42