17/6 + 3/10 as a fraction

Learn how to find what is 17/6 plus 3/10 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 3/10 as a fraction and decimal.

Summary: 17/6 plus 3/10 = 47/15
Since both fractions have unequal denominators, 17/6 plus 3/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 3/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 10. 30 is the LCM of 6 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (17/6 x 30/30) + (3/10 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 3/10 is 9/30. By simplifying this fraction addition 85/30 + 9/30, it becomes 94/30.

CALCULATION: 17/6 + 3/10 as a fraction
17/6 + 3/10 = (?)
17/6 + 3/10 = [(17 x 10) + (3 x 6)]/(6 x 10)
= (170 + 18)/60
= 188/60
= (4 x 47)/(4 x 15)
= 47/15
17/6 + 3/10 = 47/15
17/6 plus 3/10 as a fraction is 47/15.

where
17/6 is a improper fraction as an addend,
3/10 is a proper fraction as an addend,
47/15 is the sum of 17/6 and 3/10.

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17/6 plus 3/10 as a decimal
17/6 + 3/10 = 47/15
47/15 = 3.1333
(17/6) + (3/10) as a decimal is 3.1333

where
3.1333 is the sum of 17/6 and 3/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 3/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 3/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (3/10) using LCM Method:
What is 17/6 plus 3/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 3/10

What to be found?
(17/6) + (3/10) = ?
Find what's the sum of 17/6 and 3/10.

step 2 Compare the denominators of fractions 17/6 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 3/10 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 3/10:
The LCM of 6 and 10 is 30.

step 4 Write the fractions 17/6 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 3/10
= [(17 x 30)/(6 x 30)] + [(3 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 85/30 + 9/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (85/1 + 9/1)
= 1/30 x (85 + 9)

step 7Simplify the above expression further:
= 1/30 x 94
= 94/30
= 47/15
17/6 + 3/10 = 47/15

Hence,
17/6 plus 3/10 as a fraction is 47/15.

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17/6 + 3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 3/10

What to be found?
(17/6)+(3/10) = ?
Find what's the sum of 17/6 and 3/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (17 x 10) + (3 x 6)/(6 x 10)

step 3 Simplify and rewrite the fraction:
= (170 + 18)/60
= 188/60
= 47/15
17/6 + 3/10 = 47/15

Hence,
17/6 plus 3/10 in fraction is 47/15