10/3 + 10 as a fraction

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

Summary: 10/3 plus 10 = 40/3
Since both fractions have unequal denominators, 10/3 plus 10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/3 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 (10/3 x 3/3) + (10 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 10/3 and for 10 is 30/3. By simplifying this fraction addition 10/3 + 30/3, it becomes 40/3.

CALCULATION: 10/3 + 10 as a fraction
10/3 + 10 = (?)
10/3 + 10/1 = [(10 x 1) + (10 x 3)]/(3 x 1)
= (10 + 30)/3
= 40/3
10/3 + 10 = 40/3
10/3 plus 10 as a fraction is 40/3.

where
10/3 is a improper fraction as an addend,
10 is a whole number as an addend,
40/3 is the sum of 10/3 and 10.

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10/3 plus 10 as a decimal
10/3 + 10 = 40/3
40/3 = 13.3333
(10/3) + (10) as a decimal is 13.3333

where
13.3333 is the sum of 10/3 and 10.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 10/3 + 30/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (10/1 + 30/1)
= 1/3 x (10 + 30)

step 7Simplify the above expression further:
= 1/3 x 40
= 40/3
10/3 + 10 = 40/3

Hence,
10/3 plus 10 as a fraction is 40/3.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 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:
= (10 x 1) + (10 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (10 + 30)/3
10/3 + 10 = 40/3

Hence,
10/3 plus 10 in fraction is 40/3