17/4 + 7/2 as a fraction

Learn how to find what is 17/4 plus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 + 7/2 as a fraction and decimal.

Summary: 17/4 plus 7/2 = 31/4
Since both fractions have unequal denominators, 17/4 plus 7/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 2. 4 is the LCM of 4 and 2. Multiplying the LCM 4 with the numerators and denominators of both fractions (17/4 x 4/4) + (7/2 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 17/4 and for 7/2 is 14/4. By simplifying this fraction addition 17/4 + 14/4, it becomes 31/4.

CALCULATION: 17/4 + 7/2 as a fraction
17/4 + 7/2 = (?)
17/4 + 7/2 = [(17 x 2) + (7 x 4)]/(4 x 2)
= (34 + 28)/8
= 62/8
= (2 x 31)/(2 x 4)
= 31/4
17/4 + 7/2 = 31/4
17/4 plus 7/2 as a fraction is 31/4.

where
17/4 is a improper fraction as an addend,
7/2 is a improper fraction as an addend,
31/4 is the sum of 17/4 and 7/2.

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17/4 plus 7/2 as a decimal
17/4 + 7/2 = 31/4
31/4 = 7.75
(17/4) + (7/2) as a decimal is 7.75

where
7.75 is the sum of 17/4 and 7/2.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/4 and 7/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/4 plus 7/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/4) + (7/2) using LCM Method:
What is 17/4 plus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 7/2

What to be found?
(17/4) + (7/2) = ?
Find what's the sum of 17/4 and 7/2.

step 2 Compare the denominators of fractions 17/4 and 7/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/4 and 7/2 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 17/4 and 7/2:
The LCM of 4 and 2 is 4.

step 4 Write the fractions 17/4 and 7/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 + 7/2
= [(17 x 4)/(4 x 4)] + [(7 x 4)/(2 x 4)]

step 5 Simplify the expression to have common denominator:
= 17/4 + 14/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (17/1 + 14/1)
= 1/4 x (17 + 14)

step 7Simplify the above expression further:
= 1/4 x 31
= 31/4
17/4 + 7/2 = 31/4

Hence,
17/4 plus 7/2 as a fraction is 31/4.

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17/4 + 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 7/2

What to be found?
(17/4)+(7/2) = ?
Find what's the sum of 17/4 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 2), 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 2) and rewrite the equation as like the below:
= (17 x 2) + (7 x 4)/(4 x 2)

step 3 Simplify and rewrite the fraction:
= (34 + 28)/8
= 62/8
= 31/4
17/4 + 7/2 = 31/4

Hence,
17/4 plus 7/2 in fraction is 31/4