8/1 + 2/13 as a fraction

Learn how to find what is 8/1 plus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 8/1 + 2/13 as a fraction and decimal.

Summary: 8/1 plus 2/13 = 106/13
Since both fractions have unequal denominators, 8/1 plus 2/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/1 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (8/1 x 13/13) + (2/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 8/1 is 104/13 and for 2/13 is 2/13. By simplifying this fraction addition 104/13 + 2/13, it becomes 106/13.

CALCULATION: 8/1 + 2/13 as a fraction
8/1 + 2/13 = (?)
8/1 + 2/13 = [(8 x 13) + (2 x 1)]/(1 x 13)
= (104 + 2)/13
= 106/13
8/1 + 2/13 = 106/13
8/1 plus 2/13 as a fraction is 106/13.

where
8/1 is a improper fraction as an addend,
2/13 is a proper fraction as an addend,
106/13 is the sum of 8/1 and 2/13.

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8/1 plus 2/13 as a decimal
8/1 + 2/13 = 106/13
106/13 = 8.1538
(8/1) + (2/13) as a decimal is 8.1538

where
8.1538 is the sum of 8/1 and 2/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/1 and 2/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/1 plus 2/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/1) + (2/13) using LCM Method:
What is 8/1 plus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 2/13

What to be found?
(8/1) + (2/13) = ?
Find what's the sum of 8/1 and 2/13.

step 2 Compare the denominators of fractions 8/1 and 2/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/1 and 2/13 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 8/1 and 2/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 8/1 and 2/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/1 + 2/13
= [(8 x 13)/(1 x 13)] + [(2 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 104/13 + 2/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (104/1 + 2/1)
= 1/13 x (104 + 2)

step 7Simplify the above expression further:
= 1/13 x 106
= 106/13
8/1 + 2/13 = 106/13

Hence,
8/1 plus 2/13 as a fraction is 106/13.

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8/1 + 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 2/13

What to be found?
(8/1)+(2/13) = ?
Find what's the sum of 8/1 and 2/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (8 x 13) + (2 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (104 + 2)/13
8/1 + 2/13 = 106/13

Hence,
8/1 plus 2/13 in fraction is 106/13