7/2 + 12/7 as a fraction

Learn how to find what is 7/2 plus 12/7 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 + 12/7 as a fraction and decimal.

Summary: 7/2 plus 12/7 = 73/14
Since both fractions have unequal denominators, 7/2 plus 12/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 12/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (7/2 x 14/14) + (12/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 49/14 and for 12/7 is 24/14. By simplifying this fraction addition 49/14 + 24/14, it becomes 73/14.

CALCULATION: 7/2 + 12/7 as a fraction
7/2 + 12/7 = (?)
7/2 + 12/7 = [(7 x 7) + (12 x 2)]/(2 x 7)
= (49 + 24)/14
= 73/14
7/2 + 12/7 = 73/14
7/2 plus 12/7 as a fraction is 73/14.

where
7/2 is a improper fraction as an addend,
12/7 is a improper fraction as an addend,
73/14 is the sum of 7/2 and 12/7.

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7/2 plus 12/7 as a decimal
7/2 + 12/7 = 73/14
73/14 = 5.2143
(7/2) + (12/7) as a decimal is 5.2143

where
5.2143 is the sum of 7/2 and 12/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/2 and 12/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/2 plus 12/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/2) + (12/7) using LCM Method:
What is 7/2 plus 12/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 12/7

What to be found?
(7/2) + (12/7) = ?
Find what's the sum of 7/2 and 12/7.

step 2 Compare the denominators of fractions 7/2 and 12/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/2 and 12/7 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 7/2 and 12/7:
The LCM of 2 and 7 is 14.

step 4 Write the fractions 7/2 and 12/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 12/7
= [(7 x 14)/(2 x 14)] + [(12 x 14)/(7 x 14)]

step 5 Simplify the expression to have common denominator:
= 49/14 + 24/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (49/1 + 24/1)
= 1/14 x (49 + 24)

step 7Simplify the above expression further:
= 1/14 x 73
= 73/14
7/2 + 12/7 = 73/14

Hence,
7/2 plus 12/7 as a fraction is 73/14.

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7/2 + 12/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 12/7

What to be found?
(7/2)+(12/7) = ?
Find what's the sum of 7/2 and 12/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 7), find the product of numerator of Fraction B and denominator of Fraction A (12 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (7 x 7) + (12 x 2)/(2 x 7)

step 3 Simplify and rewrite the fraction:
= (49 + 24)/14
7/2 + 12/7 = 73/14

Hence,
7/2 plus 12/7 in fraction is 73/14