12/7 + 5/4 as a fraction

Learn how to find what is 12/7 plus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 5/4 as a fraction and decimal.

Summary: 12/7 plus 5/4 = 83/28
Since both fractions have unequal denominators, 12/7 plus 5/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (12/7 x 28/28) + (5/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 48/28 and for 5/4 is 35/28. By simplifying this fraction addition 48/28 + 35/28, it becomes 83/28.

CALCULATION: 12/7 + 5/4 as a fraction
12/7 + 5/4 = (?)
12/7 + 5/4 = [(12 x 4) + (5 x 7)]/(7 x 4)
= (48 + 35)/28
= 83/28
12/7 + 5/4 = 83/28
12/7 plus 5/4 as a fraction is 83/28.

where
12/7 is a improper fraction as an addend,
5/4 is a improper fraction as an addend,
83/28 is the sum of 12/7 and 5/4.

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12/7 plus 5/4 as a decimal
12/7 + 5/4 = 83/28
83/28 = 2.9643
(12/7) + (5/4) as a decimal is 2.9643

where
2.9643 is the sum of 12/7 and 5/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 5/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 5/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (5/4) using LCM Method:
What is 12/7 plus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 5/4

What to be found?
(12/7) + (5/4) = ?
Find what's the sum of 12/7 and 5/4.

step 2 Compare the denominators of fractions 12/7 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 5/4 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 5/4:
The LCM of 7 and 4 is 28.

step 4 Write the fractions 12/7 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 5/4
= [(12 x 28)/(7 x 28)] + [(5 x 28)/(4 x 28)]

step 5 Simplify the expression to have common denominator:
= 48/28 + 35/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (48/1 + 35/1)
= 1/28 x (48 + 35)

step 7Simplify the above expression further:
= 1/28 x 83
= 83/28
12/7 + 5/4 = 83/28

Hence,
12/7 plus 5/4 as a fraction is 83/28.

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12/7 + 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 5/4

What to be found?
(12/7)+(5/4) = ?
Find what's the sum of 12/7 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (12 x 4) + (5 x 7)/(7 x 4)

step 3 Simplify and rewrite the fraction:
= (48 + 35)/28
12/7 + 5/4 = 83/28

Hence,
12/7 plus 5/4 in fraction is 83/28