5/4 + 4/7 as a fraction

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

Summary: 5/4 plus 4/7 = 51/28
Since both fractions have unequal denominators, 5/4 plus 4/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 4/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (5/4 x 28/28) + (4/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 35/28 and for 4/7 is 16/28. By simplifying this fraction addition 35/28 + 16/28, it becomes 51/28.

CALCULATION: 5/4 + 4/7 as a fraction
5/4 + 4/7 = (?)
5/4 + 4/7 = [(5 x 7) + (4 x 4)]/(4 x 7)
= (35 + 16)/28
= 51/28
5/4 + 4/7 = 51/28
5/4 plus 4/7 as a fraction is 51/28.

where
5/4 is a improper fraction as an addend,
4/7 is a proper fraction as an addend,
51/28 is the sum of 5/4 and 4/7.

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5/4 plus 4/7 as a decimal
5/4 + 4/7 = 51/28
51/28 = 1.8214
(5/4) + (4/7) as a decimal is 1.8214

where
1.8214 is the sum of 5/4 and 4/7.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 35/28 + 16/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (35/1 + 16/1)
= 1/28 x (35 + 16)

step 7Simplify the above expression further:
= 1/28 x 51
= 51/28
5/4 + 4/7 = 51/28

Hence,
5/4 plus 4/7 as a fraction is 51/28.

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

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

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

step 3 Simplify and rewrite the fraction:
= (35 + 16)/28
5/4 + 4/7 = 51/28

Hence,
5/4 plus 4/7 in fraction is 51/28