7/2 + 2/3 as a fraction

Learn how to find what is 7/2 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 + 2/3 as a fraction and decimal.

Summary: 7/2 plus 2/3 = 25/6
Since both fractions have unequal denominators, 7/2 plus 2/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 3. 6 is the LCM of 2 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/2 x 6/6) + (2/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 21/6 and for 2/3 is 4/6. By simplifying this fraction addition 21/6 + 4/6, it becomes 25/6.

CALCULATION: 7/2 + 2/3 as a fraction
7/2 + 2/3 = (?)
7/2 + 2/3 = [(7 x 3) + (2 x 2)]/(2 x 3)
= (21 + 4)/6
= 25/6
7/2 + 2/3 = 25/6
7/2 plus 2/3 as a fraction is 25/6.

where
7/2 is a improper fraction as an addend,
2/3 is a proper fraction as an addend,
25/6 is the sum of 7/2 and 2/3.

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7/2 plus 2/3 as a decimal
7/2 + 2/3 = 25/6
25/6 = 4.1667
(7/2) + (2/3) as a decimal is 4.1667

where
4.1667 is the sum of 7/2 and 2/3.

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

(7/2) + (2/3) using LCM Method:
What is 7/2 plus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 2/3

What to be found?
(7/2) + (2/3) = ?
Find what's the sum of 7/2 and 2/3.

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

step 4 Write the fractions 7/2 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 2/3
= [(7 x 6)/(2 x 6)] + [(2 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 21/6 + 4/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (21/1 + 4/1)
= 1/6 x (21 + 4)

step 7Simplify the above expression further:
= 1/6 x 25
= 25/6
7/2 + 2/3 = 25/6

Hence,
7/2 plus 2/3 as a fraction is 25/6.

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7/2 + 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 2/3

What to be found?
(7/2)+(2/3) = ?
Find what's the sum of 7/2 and 2/3.

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

step 3 Simplify and rewrite the fraction:
= (21 + 4)/6
7/2 + 2/3 = 25/6

Hence,
7/2 plus 2/3 in fraction is 25/6