4/3 + 5/7 as a fraction

Learn how to find what is 4/3 plus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 + 5/7 as a fraction and decimal.

Summary: 4/3 plus 5/7 = 43/21
Since both fractions have unequal denominators, 4/3 plus 5/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (4/3 x 21/21) + (5/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 28/21 and for 5/7 is 15/21. By simplifying this fraction addition 28/21 + 15/21, it becomes 43/21.

CALCULATION: 4/3 + 5/7 as a fraction
4/3 + 5/7 = (?)
4/3 + 5/7 = [(4 x 7) + (5 x 3)]/(3 x 7)
= (28 + 15)/21
= 43/21
4/3 + 5/7 = 43/21
4/3 plus 5/7 as a fraction is 43/21.

where
4/3 is a improper fraction as an addend,
5/7 is a proper fraction as an addend,
43/21 is the sum of 4/3 and 5/7.

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4/3 plus 5/7 as a decimal
4/3 + 5/7 = 43/21
43/21 = 2.0476
(4/3) + (5/7) as a decimal is 2.0476

where
2.0476 is the sum of 4/3 and 5/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/3 and 5/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/3 plus 5/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/3) + (5/7) using LCM Method:
What is 4/3 plus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/7

What to be found?
(4/3) + (5/7) = ?
Find what's the sum of 4/3 and 5/7.

step 2 Compare the denominators of fractions 4/3 and 5/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/3 and 5/7 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 4/3 and 5/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 4/3 and 5/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 + 5/7
= [(4 x 21)/(3 x 21)] + [(5 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 28/21 + 15/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (28/1 + 15/1)
= 1/21 x (28 + 15)

step 7Simplify the above expression further:
= 1/21 x 43
= 43/21
4/3 + 5/7 = 43/21

Hence,
4/3 plus 5/7 as a fraction is 43/21.

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4/3 + 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/7

What to be found?
(4/3)+(5/7) = ?
Find what's the sum of 4/3 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (4 x 7) + (5 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (28 + 15)/21
4/3 + 5/7 = 43/21

Hence,
4/3 plus 5/7 in fraction is 43/21