17/5 + 2 as a fraction

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

Summary: 17/5 plus 2 = 27/5
Since both fractions have unequal denominators, 17/5 plus 2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (17/5 x 5/5) + (2 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 17/5 and for 2 is 10/5. By simplifying this fraction addition 17/5 + 10/5, it becomes 27/5.

CALCULATION: 17/5 + 2 as a fraction
17/5 + 2 = (?)
17/5 + 2/1 = [(17 x 1) + (2 x 5)]/(5 x 1)
= (17 + 10)/5
= 27/5
17/5 + 2 = 27/5
17/5 plus 2 as a fraction is 27/5.

where
17/5 is a improper fraction as an addend,
2 is a whole number as an addend,
27/5 is the sum of 17/5 and 2.

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17/5 plus 2 as a decimal
17/5 + 2 = 27/5
27/5 = 5.4
(17/5) + (2) as a decimal is 5.4

where
5.4 is the sum of 17/5 and 2.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 2 by adding fraction to a whole number . The sum in fraction form for 17/5 plus 2/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 17/5 and 2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 and 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 17/5 and 2:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 17/5 and 2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 2
= [(17 x 5)/(5 x 5)] + [(2 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 17/5 + 10/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (17/1 + 10/1)
= 1/5 x (17 + 10)

step 7Simplify the above expression further:
= 1/5 x 27
= 27/5
17/5 + 2 = 27/5

Hence,
17/5 plus 2 as a fraction is 27/5.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (17 x 1) + (2 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (17 + 10)/5
17/5 + 2 = 27/5

Hence,
17/5 plus 2 in fraction is 27/5