17/6 + 5/16 as a fraction

Learn how to find what is 17/6 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 5/16 as a fraction and decimal.

Summary: 17/6 plus 5/16 = 151/48
Since both fractions have unequal denominators, 17/6 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 16. 48 is the LCM of 6 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (17/6 x 48/48) + (5/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 136/48 and for 5/16 is 15/48. By simplifying this fraction addition 136/48 + 15/48, it becomes 151/48.

CALCULATION: 17/6 + 5/16 as a fraction
17/6 + 5/16 = (?)
17/6 + 5/16 = [(17 x 16) + (5 x 6)]/(6 x 16)
= (272 + 30)/96
= 302/96
= (2 x 151)/(2 x 48)
= 151/48
17/6 + 5/16 = 151/48
17/6 plus 5/16 as a fraction is 151/48.

where
17/6 is a improper fraction as an addend,
5/16 is a proper fraction as an addend,
151/48 is the sum of 17/6 and 5/16.

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17/6 plus 5/16 as a decimal
17/6 + 5/16 = 151/48
151/48 = 3.1458
(17/6) + (5/16) as a decimal is 3.1458

where
3.1458 is the sum of 17/6 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (5/16) using LCM Method:
What is 17/6 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/16

What to be found?
(17/6) + (5/16) = ?
Find what's the sum of 17/6 and 5/16.

step 2 Compare the denominators of fractions 17/6 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 5/16 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 5/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 17/6 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 5/16
= [(17 x 48)/(6 x 48)] + [(5 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 136/48 + 15/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (136/1 + 15/1)
= 1/48 x (136 + 15)

step 7Simplify the above expression further:
= 1/48 x 151
= 151/48
17/6 + 5/16 = 151/48

Hence,
17/6 plus 5/16 as a fraction is 151/48.

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17/6 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 5/16

What to be found?
(17/6)+(5/16) = ?
Find what's the sum of 17/6 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (17 x 16) + (5 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (272 + 30)/96
= 302/96
= 151/48
17/6 + 5/16 = 151/48

Hence,
17/6 plus 5/16 in fraction is 151/48