18/7 + 3/13 as a fraction

Learn how to find what is 18/7 plus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 3/13 as a fraction and decimal.

Summary: 18/7 plus 3/13 = 255/91
Since both fractions have unequal denominators, 18/7 plus 3/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 13. 91 is the LCM of 7 and 13. Multiplying the LCM 91 with the numerators and denominators of both fractions (18/7 x 91/91) + (3/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 234/91 and for 3/13 is 21/91. By simplifying this fraction addition 234/91 + 21/91, it becomes 255/91.

CALCULATION: 18/7 + 3/13 as a fraction
18/7 + 3/13 = (?)
18/7 + 3/13 = [(18 x 13) + (3 x 7)]/(7 x 13)
= (234 + 21)/91
= 255/91
18/7 + 3/13 = 255/91
18/7 plus 3/13 as a fraction is 255/91.

where
18/7 is a improper fraction as an addend,
3/13 is a proper fraction as an addend,
255/91 is the sum of 18/7 and 3/13.

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18/7 plus 3/13 as a decimal
18/7 + 3/13 = 255/91
255/91 = 2.8022
(18/7) + (3/13) as a decimal is 2.8022

where
2.8022 is the sum of 18/7 and 3/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 3/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/7 plus 3/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/7) + (3/13) using LCM Method:
What is 18/7 plus 3/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 3/13

What to be found?
(18/7) + (3/13) = ?
Find what's the sum of 18/7 and 3/13.

step 2 Compare the denominators of fractions 18/7 and 3/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 3/13 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 3/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 18/7 and 3/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 3/13
= [(18 x 91)/(7 x 91)] + [(3 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 234/91 + 21/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (234/1 + 21/1)
= 1/91 x (234 + 21)

step 7Simplify the above expression further:
= 1/91 x 255
= 255/91
18/7 + 3/13 = 255/91

Hence,
18/7 plus 3/13 as a fraction is 255/91.

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18/7 + 3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 3/13

What to be found?
(18/7)+(3/13) = ?
Find what's the sum of 18/7 and 3/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (18 x 13) + (3 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (234 + 21)/91
18/7 + 3/13 = 255/91

Hence,
18/7 plus 3/13 in fraction is 255/91