4/3 + 7/6 as a fraction

Learn how to find what is 4/3 plus 7/6 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 + 7/6 as a fraction and decimal.

Summary: 4/3 plus 7/6 = 5/2
Since both fractions have unequal denominators, 4/3 plus 7/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 7/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (4/3 x 6/6) + (7/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 8/6 and for 7/6 is 7/6. By simplifying this fraction addition 8/6 + 7/6, it becomes 15/6.

CALCULATION: 4/3 + 7/6 as a fraction
4/3 + 7/6 = (?)
4/3 + 7/6 = [(4 x 6) + (7 x 3)]/(3 x 6)
= (24 + 21)/18
= 45/18
= (9 x 5)/(9 x 2)
= 5/2
4/3 + 7/6 = 5/2
4/3 plus 7/6 as a fraction is 5/2.

where
4/3 is a improper fraction as an addend,
7/6 is a improper fraction as an addend,
5/2 is the sum of 4/3 and 7/6.

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4/3 plus 7/6 as a decimal
4/3 + 7/6 = 5/2
5/2 = 2.5
(4/3) + (7/6) as a decimal is 2.5

where
2.5 is the sum of 4/3 and 7/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/3 and 7/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/3 plus 7/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/3) + (7/6) using LCM Method:
What is 4/3 plus 7/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 7/6

What to be found?
(4/3) + (7/6) = ?
Find what's the sum of 4/3 and 7/6.

step 2 Compare the denominators of fractions 4/3 and 7/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/3 and 7/6 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 7/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 4/3 and 7/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 + 7/6
= [(4 x 6)/(3 x 6)] + [(7 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 8/6 + 7/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (8/1 + 7/1)
= 1/6 x (8 + 7)

step 7Simplify the above expression further:
= 1/6 x 15
= 15/6
= 5/2
4/3 + 7/6 = 5/2

Hence,
4/3 plus 7/6 as a fraction is 5/2.

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4/3 + 7/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 7/6

What to be found?
(4/3)+(7/6) = ?
Find what's the sum of 4/3 and 7/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), 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 6) and rewrite the equation as like the below:
= (4 x 6) + (7 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (24 + 21)/18
= 45/18
= 5/2
4/3 + 7/6 = 5/2

Hence,
4/3 plus 7/6 in fraction is 5/2