5/2 + 17/12 as a fraction

Learn how to find what is 5/2 plus 17/12 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 17/12 as a fraction and decimal.

Summary: 5/2 plus 17/12 = 47/12
Since both fractions have unequal denominators, 5/2 plus 17/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 17/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 12. 12 is the LCM of 2 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (5/2 x 12/12) + (17/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 30/12 and for 17/12 is 17/12. By simplifying this fraction addition 30/12 + 17/12, it becomes 47/12.

CALCULATION: 5/2 + 17/12 as a fraction
5/2 + 17/12 = (?)
5/2 + 17/12 = [(5 x 12) + (17 x 2)]/(2 x 12)
= (60 + 34)/24
= 94/24
= (2 x 47)/(2 x 12)
= 47/12
5/2 + 17/12 = 47/12
5/2 plus 17/12 as a fraction is 47/12.

where
5/2 is a improper fraction as an addend,
17/12 is a improper fraction as an addend,
47/12 is the sum of 5/2 and 17/12.

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5/2 plus 17/12 as a decimal
5/2 + 17/12 = 47/12
47/12 = 3.9167
(5/2) + (17/12) as a decimal is 3.9167

where
3.9167 is the sum of 5/2 and 17/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 17/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/2 plus 17/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (17/12) using LCM Method:
What is 5/2 plus 17/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 17/12

What to be found?
(5/2) + (17/12) = ?
Find what's the sum of 5/2 and 17/12.

step 2 Compare the denominators of fractions 5/2 and 17/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 17/12 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 5/2 and 17/12:
The LCM of 2 and 12 is 12.

step 4 Write the fractions 5/2 and 17/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 17/12
= [(5 x 12)/(2 x 12)] + [(17 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 30/12 + 17/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (30/1 + 17/1)
= 1/12 x (30 + 17)

step 7Simplify the above expression further:
= 1/12 x 47
= 47/12
5/2 + 17/12 = 47/12

Hence,
5/2 plus 17/12 as a fraction is 47/12.

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5/2 + 17/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 17/12

What to be found?
(5/2)+(17/12) = ?
Find what's the sum of 5/2 and 17/12.

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 (17 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 12) and rewrite the equation as like the below:
= (5 x 12) + (17 x 2)/(2 x 12)

step 3 Simplify and rewrite the fraction:
= (60 + 34)/24
= 94/24
= 47/12
5/2 + 17/12 = 47/12

Hence,
5/2 plus 17/12 in fraction is 47/12