12/7 + 2/5 as a fraction

Learn how to find what is 12/7 plus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 2/5 as a fraction and decimal.

Summary: 12/7 plus 2/5 = 74/35
Since both fractions have unequal denominators, 12/7 plus 2/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 2/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 5. 35 is the LCM of 7 and 5. Multiplying the LCM 35 with the numerators and denominators of both fractions (12/7 x 35/35) + (2/5 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 60/35 and for 2/5 is 14/35. By simplifying this fraction addition 60/35 + 14/35, it becomes 74/35.

CALCULATION: 12/7 + 2/5 as a fraction
12/7 + 2/5 = (?)
12/7 + 2/5 = [(12 x 5) + (2 x 7)]/(7 x 5)
= (60 + 14)/35
= 74/35
12/7 + 2/5 = 74/35
12/7 plus 2/5 as a fraction is 74/35.

where
12/7 is a improper fraction as an addend,
2/5 is a proper fraction as an addend,
74/35 is the sum of 12/7 and 2/5.

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12/7 plus 2/5 as a decimal
12/7 + 2/5 = 74/35
74/35 = 2.1143
(12/7) + (2/5) as a decimal is 2.1143

where
2.1143 is the sum of 12/7 and 2/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 2/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 2/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (2/5) using LCM Method:
What is 12/7 plus 2/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 2/5

What to be found?
(12/7) + (2/5) = ?
Find what's the sum of 12/7 and 2/5.

step 2 Compare the denominators of fractions 12/7 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 2/5 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 12/7 and 2/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 12/7 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 2/5
= [(12 x 35)/(7 x 35)] + [(2 x 35)/(5 x 35)]

step 5 Simplify the expression to have common denominator:
= 60/35 + 14/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (60/1 + 14/1)
= 1/35 x (60 + 14)

step 7Simplify the above expression further:
= 1/35 x 74
= 74/35
12/7 + 2/5 = 74/35

Hence,
12/7 plus 2/5 as a fraction is 74/35.

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12/7 + 2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 2/5

What to be found?
(12/7)+(2/5) = ?
Find what's the sum of 12/7 and 2/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (12 x 5) + (2 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (60 + 14)/35
12/7 + 2/5 = 74/35

Hence,
12/7 plus 2/5 in fraction is 74/35