17/6 + 2/5 as a fraction

Learn how to find what is 17/6 plus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 2/5 as a fraction and decimal.

Summary: 17/6 plus 2/5 = 97/30
Since both fractions have unequal denominators, 17/6 plus 2/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 2/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 5. 30 is the LCM of 6 and 5. Multiplying the LCM 30 with the numerators and denominators of both fractions (17/6 x 30/30) + (2/5 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 85/30 and for 2/5 is 12/30. By simplifying this fraction addition 85/30 + 12/30, it becomes 97/30.

CALCULATION: 17/6 + 2/5 as a fraction
17/6 + 2/5 = (?)
17/6 + 2/5 = [(17 x 5) + (2 x 6)]/(6 x 5)
= (85 + 12)/30
= 97/30
17/6 + 2/5 = 97/30
17/6 plus 2/5 as a fraction is 97/30.

where
17/6 is a improper fraction as an addend,
2/5 is a proper fraction as an addend,
97/30 is the sum of 17/6 and 2/5.

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17/6 plus 2/5 as a decimal
17/6 + 2/5 = 97/30
97/30 = 3.2333
(17/6) + (2/5) as a decimal is 3.2333

where
3.2333 is the sum of 17/6 and 2/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 2/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 2/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (2/5) using LCM Method:
What is 17/6 plus 2/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 2/5

What to be found?
(17/6) + (2/5) = ?
Find what's the sum of 17/6 and 2/5.

step 2 Compare the denominators of fractions 17/6 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 2/5 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 17/6 and 2/5:
The LCM of 6 and 5 is 30.

step 4 Write the fractions 17/6 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 2/5
= [(17 x 30)/(6 x 30)] + [(2 x 30)/(5 x 30)]

step 5 Simplify the expression to have common denominator:
= 85/30 + 12/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (85/1 + 12/1)
= 1/30 x (85 + 12)

step 7Simplify the above expression further:
= 1/30 x 97
= 97/30
17/6 + 2/5 = 97/30

Hence,
17/6 plus 2/5 as a fraction is 97/30.

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17/6 + 2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 2/5

What to be found?
(17/6)+(2/5) = ?
Find what's the sum of 17/6 and 2/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 5) and rewrite the equation as like the below:
= (17 x 5) + (2 x 6)/(6 x 5)

step 3 Simplify and rewrite the fraction:
= (85 + 12)/30
17/6 + 2/5 = 97/30

Hence,
17/6 plus 2/5 in fraction is 97/30