8/3 + 13/10 as a fraction

Learn how to find what is 8/3 plus 13/10 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 + 13/10 as a fraction and decimal.

Summary: 8/3 plus 13/10 = 119/30
Since both fractions have unequal denominators, 8/3 plus 13/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 13/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 10. 30 is the LCM of 3 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (8/3 x 30/30) + (13/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 80/30 and for 13/10 is 39/30. By simplifying this fraction addition 80/30 + 39/30, it becomes 119/30.

CALCULATION: 8/3 + 13/10 as a fraction
8/3 + 13/10 = (?)
8/3 + 13/10 = [(8 x 10) + (13 x 3)]/(3 x 10)
= (80 + 39)/30
= 119/30
8/3 + 13/10 = 119/30
8/3 plus 13/10 as a fraction is 119/30.

where
8/3 is a improper fraction as an addend,
13/10 is a improper fraction as an addend,
119/30 is the sum of 8/3 and 13/10.

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8/3 plus 13/10 as a decimal
8/3 + 13/10 = 119/30
119/30 = 3.9667
(8/3) + (13/10) as a decimal is 3.9667

where
3.9667 is the sum of 8/3 and 13/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/3 and 13/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/3 plus 13/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/3) + (13/10) using LCM Method:
What is 8/3 plus 13/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 13/10

What to be found?
(8/3) + (13/10) = ?
Find what's the sum of 8/3 and 13/10.

step 2 Compare the denominators of fractions 8/3 and 13/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/3 and 13/10 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 8/3 and 13/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 8/3 and 13/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 + 13/10
= [(8 x 30)/(3 x 30)] + [(13 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 80/30 + 39/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (80/1 + 39/1)
= 1/30 x (80 + 39)

step 7Simplify the above expression further:
= 1/30 x 119
= 119/30
8/3 + 13/10 = 119/30

Hence,
8/3 plus 13/10 as a fraction is 119/30.

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8/3 + 13/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 13/10

What to be found?
(8/3)+(13/10) = ?
Find what's the sum of 8/3 and 13/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 10), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (8 x 10) + (13 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (80 + 39)/30
8/3 + 13/10 = 119/30

Hence,
8/3 plus 13/10 in fraction is 119/30