10/7 + 4/3 as a fraction

Learn how to find what is 10/7 plus 4/3 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 + 4/3 as a fraction and decimal.

Summary: 10/7 plus 4/3 = 58/21
Since both fractions have unequal denominators, 10/7 plus 4/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 4/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 3. 21 is the LCM of 7 and 3. Multiplying the LCM 21 with the numerators and denominators of both fractions (10/7 x 21/21) + (4/3 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 30/21 and for 4/3 is 28/21. By simplifying this fraction addition 30/21 + 28/21, it becomes 58/21.

CALCULATION: 10/7 + 4/3 as a fraction
10/7 + 4/3 = (?)
10/7 + 4/3 = [(10 x 3) + (4 x 7)]/(7 x 3)
= (30 + 28)/21
= 58/21
10/7 + 4/3 = 58/21
10/7 plus 4/3 as a fraction is 58/21.

where
10/7 is a improper fraction as an addend,
4/3 is a improper fraction as an addend,
58/21 is the sum of 10/7 and 4/3.

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10/7 plus 4/3 as a decimal
10/7 + 4/3 = 58/21
58/21 = 2.7619
(10/7) + (4/3) as a decimal is 2.7619

where
2.7619 is the sum of 10/7 and 4/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/7 and 4/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/7 plus 4/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/7) + (4/3) using LCM Method:
What is 10/7 plus 4/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 4/3

What to be found?
(10/7) + (4/3) = ?
Find what's the sum of 10/7 and 4/3.

step 2 Compare the denominators of fractions 10/7 and 4/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/7 and 4/3 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 10/7 and 4/3:
The LCM of 7 and 3 is 21.

step 4 Write the fractions 10/7 and 4/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 + 4/3
= [(10 x 21)/(7 x 21)] + [(4 x 21)/(3 x 21)]

step 5 Simplify the expression to have common denominator:
= 30/21 + 28/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (30/1 + 28/1)
= 1/21 x (30 + 28)

step 7Simplify the above expression further:
= 1/21 x 58
= 58/21
10/7 + 4/3 = 58/21

Hence,
10/7 plus 4/3 as a fraction is 58/21.

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10/7 + 4/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 4/3

What to be found?
(10/7)+(4/3) = ?
Find what's the sum of 10/7 and 4/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 3), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
= (10 x 3) + (4 x 7)/(7 x 3)

step 3 Simplify and rewrite the fraction:
= (30 + 28)/21
10/7 + 4/3 = 58/21

Hence,
10/7 plus 4/3 in fraction is 58/21