7/3 + 1/4 as a fraction

Learn how to find what is 7/3 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 + 1/4 as a fraction and decimal.

Summary: 7/3 plus 1/4 = 31/12
Since both fractions have unequal denominators, 7/3 plus 1/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 1/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 4. 12 is the LCM of 3 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (7/3 x 12/12) + (1/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 28/12 and for 1/4 is 3/12. By simplifying this fraction addition 28/12 + 3/12, it becomes 31/12.

CALCULATION: 7/3 + 1/4 as a fraction
7/3 + 1/4 = (?)
7/3 + 1/4 = [(7 x 4) + (1 x 3)]/(3 x 4)
= (28 + 3)/12
= 31/12
7/3 + 1/4 = 31/12
7/3 plus 1/4 as a fraction is 31/12.

where
7/3 is a improper fraction as an addend,
1/4 is a proper fraction as an addend,
31/12 is the sum of 7/3 and 1/4.

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7/3 plus 1/4 as a decimal
7/3 + 1/4 = 31/12
31/12 = 2.5833
(7/3) + (1/4) as a decimal is 2.5833

where
2.5833 is the sum of 7/3 and 1/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/3 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/3 plus 1/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/3) + (1/4) using LCM Method:
What is 7/3 plus 1/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 1/4

What to be found?
(7/3) + (1/4) = ?
Find what's the sum of 7/3 and 1/4.

step 2 Compare the denominators of fractions 7/3 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 1/4 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 7/3 and 1/4:
The LCM of 3 and 4 is 12.

step 4 Write the fractions 7/3 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 1/4
= [(7 x 12)/(3 x 12)] + [(1 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 28/12 + 3/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (28/1 + 3/1)
= 1/12 x (28 + 3)

step 7Simplify the above expression further:
= 1/12 x 31
= 31/12
7/3 + 1/4 = 31/12

Hence,
7/3 plus 1/4 as a fraction is 31/12.

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7/3 + 1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 1/4

What to be found?
(7/3)+(1/4) = ?
Find what's the sum of 7/3 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 4) and rewrite the equation as like the below:
= (7 x 4) + (1 x 3)/(3 x 4)

step 3 Simplify and rewrite the fraction:
= (28 + 3)/12
7/3 + 1/4 = 31/12

Hence,
7/3 plus 1/4 in fraction is 31/12