17/3 + 14 as a fraction

Learn how to find what is 17/3 plus 14 in fraction form just in a few minutes. We have covered the easiest method to write 17/3 + 14 as a fraction and decimal.

Summary: 17/3 plus 14 = 59/3
Since both fractions have unequal denominators, 17/3 plus 14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/3 and fraction 14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (17/3 x 3/3) + (14 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 17/3 is 17/3 and for 14 is 42/3. By simplifying this fraction addition 17/3 + 42/3, it becomes 59/3.

CALCULATION: 17/3 + 14 as a fraction
17/3 + 14 = (?)
17/3 + 14/1 = [(17 x 1) + (14 x 3)]/(3 x 1)
= (17 + 42)/3
= 59/3
17/3 + 14 = 59/3
17/3 plus 14 as a fraction is 59/3.

where
17/3 is a improper fraction as an addend,
14 is a whole number as an addend,
59/3 is the sum of 17/3 and 14.

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17/3 plus 14 as a decimal
17/3 + 14 = 59/3
59/3 = 19.6667
(17/3) + (14) as a decimal is 19.6667

where
19.6667 is the sum of 17/3 and 14.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/3 and 14 by adding fraction to a whole number . The sum in fraction form for 17/3 plus 14/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/3) + (14) using LCM Method:
What is 17/3 plus 14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 14/1

What to be found?
(17/3) + (14) = ?
Find what's the sum of 17/3 and 14.

step 2 Compare the denominators of fractions 17/3 and 14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/3 and 14 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 17/3 and 14:
The LCM of 3 and 1 is 3.

step 4 Write the fractions 17/3 and 14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/3 + 14
= [(17 x 3)/(3 x 3)] + [(14 x 3)/(1 x 3)]

step 5 Simplify the expression to have common denominator:
= 17/3 + 42/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (17/1 + 42/1)
= 1/3 x (17 + 42)

step 7Simplify the above expression further:
= 1/3 x 59
= 59/3
17/3 + 14 = 59/3

Hence,
17/3 plus 14 as a fraction is 59/3.

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17/3 + 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 14/1

What to be found?
(17/3)+(14) = ?
Find what's the sum of 17/3 and 14.

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 (14 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (17 x 1) + (14 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (17 + 42)/3
17/3 + 14 = 59/3

Hence,
17/3 plus 14 in fraction is 59/3