5/4 + 7/12 as a fraction

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

Summary: 5/4 plus 7/12 = 11/6
Since both fractions have unequal denominators, 5/4 plus 7/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 7/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 12. 12 is the LCM of 4 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (5/4 x 12/12) + (7/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 15/12 and for 7/12 is 7/12. By simplifying this fraction addition 15/12 + 7/12, it becomes 22/12.

CALCULATION: 5/4 + 7/12 as a fraction
5/4 + 7/12 = (?)
5/4 + 7/12 = [(5 x 12) + (7 x 4)]/(4 x 12)
= (60 + 28)/48
= 88/48
= (8 x 11)/(8 x 6)
= 11/6
5/4 + 7/12 = 11/6
5/4 plus 7/12 as a fraction is 11/6.

where
5/4 is a improper fraction as an addend,
7/12 is a proper fraction as an addend,
11/6 is the sum of 5/4 and 7/12.

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5/4 plus 7/12 as a decimal
5/4 + 7/12 = 11/6
11/6 = 1.8333
(5/4) + (7/12) as a decimal is 1.8333

where
1.8333 is the sum of 5/4 and 7/12.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 15/12 + 7/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (15/1 + 7/1)
= 1/12 x (15 + 7)

step 7Simplify the above expression further:
= 1/12 x 22
= 22/12
= 11/6
5/4 + 7/12 = 11/6

Hence,
5/4 plus 7/12 as a fraction is 11/6.

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

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

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

step 3 Simplify and rewrite the fraction:
= (60 + 28)/48
= 88/48
= 11/6
5/4 + 7/12 = 11/6

Hence,
5/4 plus 7/12 in fraction is 11/6