13/7 + 1/6 as a fraction

Learn how to find what is 13/7 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 13/7 + 1/6 as a fraction and decimal.

Summary: 13/7 plus 1/6 = 85/42
Since both fractions have unequal denominators, 13/7 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/7 and fraction 1/6 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 (13/7 x 42/42) + (1/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 13/7 is 78/42 and for 1/6 is 7/42. By simplifying this fraction addition 78/42 + 7/42, it becomes 85/42.

CALCULATION: 13/7 + 1/6 as a fraction
13/7 + 1/6 = (?)
13/7 + 1/6 = [(13 x 6) + (1 x 7)]/(7 x 6)
= (78 + 7)/42
= 85/42
13/7 + 1/6 = 85/42
13/7 plus 1/6 as a fraction is 85/42.

where
13/7 is a improper fraction as an addend,
1/6 is a proper fraction as an addend,
85/42 is the sum of 13/7 and 1/6.

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13/7 plus 1/6 as a decimal
13/7 + 1/6 = 85/42
85/42 = 2.0238
(13/7) + (1/6) as a decimal is 2.0238

where
2.0238 is the sum of 13/7 and 1/6.

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

(13/7) + (1/6) using LCM Method:
What is 13/7 plus 1/6 as a fraction?

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

What to be found?
(13/7) + (1/6) = ?
Find what's the sum of 13/7 and 1/6.

step 2 Compare the denominators of fractions 13/7 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/7 and 1/6 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 13/7 and 1/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 13/7 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/7 + 1/6
= [(13 x 42)/(7 x 42)] + [(1 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 78/42 + 7/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (78/1 + 7/1)
= 1/42 x (78 + 7)

step 7Simplify the above expression further:
= 1/42 x 85
= 85/42
13/7 + 1/6 = 85/42

Hence,
13/7 plus 1/6 as a fraction is 85/42.

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

What to be found?
(13/7)+(1/6) = ?
Find what's the sum of 13/7 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (13 x 6) + (1 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (78 + 7)/42
13/7 + 1/6 = 85/42

Hence,
13/7 plus 1/6 in fraction is 85/42