16/3 + 17/14 as a fraction

Learn how to find what is 16/3 plus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 17/14 as a fraction and decimal.

Summary: 16/3 plus 17/14 = 275/42
Since both fractions have unequal denominators, 16/3 plus 17/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 17/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (16/3 x 42/42) + (17/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 224/42 and for 17/14 is 51/42. By simplifying this fraction addition 224/42 + 51/42, it becomes 275/42.

CALCULATION: 16/3 + 17/14 as a fraction
16/3 + 17/14 = (?)
16/3 + 17/14 = [(16 x 14) + (17 x 3)]/(3 x 14)
= (224 + 51)/42
= 275/42
16/3 + 17/14 = 275/42
16/3 plus 17/14 as a fraction is 275/42.

where
16/3 is a improper fraction as an addend,
17/14 is a improper fraction as an addend,
275/42 is the sum of 16/3 and 17/14.

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16/3 plus 17/14 as a decimal
16/3 + 17/14 = 275/42
275/42 = 6.5476
(16/3) + (17/14) as a decimal is 6.5476

where
6.5476 is the sum of 16/3 and 17/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 17/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/3 plus 17/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (17/14) using LCM Method:
What is 16/3 plus 17/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 17/14

What to be found?
(16/3) + (17/14) = ?
Find what's the sum of 16/3 and 17/14.

step 2 Compare the denominators of fractions 16/3 and 17/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 17/14 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 16/3 and 17/14:
The LCM of 3 and 14 is 42.

step 4 Write the fractions 16/3 and 17/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 17/14
= [(16 x 42)/(3 x 42)] + [(17 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 224/42 + 51/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (224/1 + 51/1)
= 1/42 x (224 + 51)

step 7Simplify the above expression further:
= 1/42 x 275
= 275/42
16/3 + 17/14 = 275/42

Hence,
16/3 plus 17/14 as a fraction is 275/42.

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16/3 + 17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 17/14

What to be found?
(16/3)+(17/14) = ?
Find what's the sum of 16/3 and 17/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 14), find the product of numerator of Fraction B and denominator of Fraction A (17 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (16 x 14) + (17 x 3)/(3 x 14)

step 3 Simplify and rewrite the fraction:
= (224 + 51)/42
16/3 + 17/14 = 275/42

Hence,
16/3 plus 17/14 in fraction is 275/42