5/3 + 7/10 as a fraction

Learn how to find what is 5/3 plus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 + 7/10 as a fraction and decimal.

Summary: 5/3 plus 7/10 = 71/30
Since both fractions have unequal denominators, 5/3 plus 7/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 7/10 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 (5/3 x 30/30) + (7/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 50/30 and for 7/10 is 21/30. By simplifying this fraction addition 50/30 + 21/30, it becomes 71/30.

CALCULATION: 5/3 + 7/10 as a fraction
5/3 + 7/10 = (?)
5/3 + 7/10 = [(5 x 10) + (7 x 3)]/(3 x 10)
= (50 + 21)/30
= 71/30
5/3 + 7/10 = 71/30
5/3 plus 7/10 as a fraction is 71/30.

where
5/3 is a improper fraction as an addend,
7/10 is a proper fraction as an addend,
71/30 is the sum of 5/3 and 7/10.

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5/3 plus 7/10 as a decimal
5/3 + 7/10 = 71/30
71/30 = 2.3667
(5/3) + (7/10) as a decimal is 2.3667

where
2.3667 is the sum of 5/3 and 7/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/3 and 7/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/3 plus 7/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/3) + (7/10) using LCM Method:
What is 5/3 plus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 7/10

What to be found?
(5/3) + (7/10) = ?
Find what's the sum of 5/3 and 7/10.

step 2 Compare the denominators of fractions 5/3 and 7/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 and 7/10 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 5/3 and 7/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 5/3 and 7/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 + 7/10
= [(5 x 30)/(3 x 30)] + [(7 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 50/30 + 21/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (50/1 + 21/1)
= 1/30 x (50 + 21)

step 7Simplify the above expression further:
= 1/30 x 71
= 71/30
5/3 + 7/10 = 71/30

Hence,
5/3 plus 7/10 as a fraction is 71/30.

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5/3 + 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 7/10

What to be found?
(5/3)+(7/10) = ?
Find what's the sum of 5/3 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (5 x 10) + (7 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (50 + 21)/30
5/3 + 7/10 = 71/30

Hence,
5/3 plus 7/10 in fraction is 71/30