13/3 + 10 as a fraction

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

Summary: 13/3 plus 10 = 43/3
Since both fractions have unequal denominators, 13/3 plus 10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (13/3 x 3/3) + (10 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 13/3 and for 10 is 30/3. By simplifying this fraction addition 13/3 + 30/3, it becomes 43/3.

CALCULATION: 13/3 + 10 as a fraction
13/3 + 10 = (?)
13/3 + 10/1 = [(13 x 1) + (10 x 3)]/(3 x 1)
= (13 + 30)/3
= 43/3
13/3 + 10 = 43/3
13/3 plus 10 as a fraction is 43/3.

where
13/3 is a improper fraction as an addend,
10 is a whole number as an addend,
43/3 is the sum of 13/3 and 10.

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13/3 plus 10 as a decimal
13/3 + 10 = 43/3
43/3 = 14.3333
(13/3) + (10) as a decimal is 14.3333

where
14.3333 is the sum of 13/3 and 10.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/3 and 10 by adding fraction to a whole number . The sum in fraction form for 13/3 plus 10/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 13/3 and 10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/3 and 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 13/3 and 10:
The LCM of 3 and 1 is 3.

step 4 Write the fractions 13/3 and 10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 + 10
= [(13 x 3)/(3 x 3)] + [(10 x 3)/(1 x 3)]

step 5 Simplify the expression to have common denominator:
= 13/3 + 30/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (13/1 + 30/1)
= 1/3 x (13 + 30)

step 7Simplify the above expression further:
= 1/3 x 43
= 43/3
13/3 + 10 = 43/3

Hence,
13/3 plus 10 as a fraction is 43/3.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (13 x 1) + (10 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 30)/3
13/3 + 10 = 43/3

Hence,
13/3 plus 10 in fraction is 43/3