11/3 + 1/10 as a fraction

Learn how to find what is 11/3 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 1/10 as a fraction and decimal.

Summary: 11/3 plus 1/10 = 113/30
Since both fractions have unequal denominators, 11/3 plus 1/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 1/10 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 (11/3 x 30/30) + (1/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 110/30 and for 1/10 is 3/30. By simplifying this fraction addition 110/30 + 3/30, it becomes 113/30.

CALCULATION: 11/3 + 1/10 as a fraction
11/3 + 1/10 = (?)
11/3 + 1/10 = [(11 x 10) + (1 x 3)]/(3 x 10)
= (110 + 3)/30
= 113/30
11/3 + 1/10 = 113/30
11/3 plus 1/10 as a fraction is 113/30.

where
11/3 is a improper fraction as an addend,
1/10 is a proper fraction as an addend,
113/30 is the sum of 11/3 and 1/10.

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11/3 plus 1/10 as a decimal
11/3 + 1/10 = 113/30
113/30 = 3.7667
(11/3) + (1/10) as a decimal is 3.7667

where
3.7667 is the sum of 11/3 and 1/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (1/10) using LCM Method:
What is 11/3 plus 1/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 1/10

What to be found?
(11/3) + (1/10) = ?
Find what's the sum of 11/3 and 1/10.

step 2 Compare the denominators of fractions 11/3 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 1/10 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 11/3 and 1/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 11/3 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 1/10
= [(11 x 30)/(3 x 30)] + [(1 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 110/30 + 3/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (110/1 + 3/1)
= 1/30 x (110 + 3)

step 7Simplify the above expression further:
= 1/30 x 113
= 113/30
11/3 + 1/10 = 113/30

Hence,
11/3 plus 1/10 as a fraction is 113/30.

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11/3 + 1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 1/10

What to be found?
(11/3)+(1/10) = ?
Find what's the sum of 11/3 and 1/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 10), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (11 x 10) + (1 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (110 + 3)/30
11/3 + 1/10 = 113/30

Hence,
11/3 plus 1/10 in fraction is 113/30