16/7 + 17/14 as a fraction

Learn how to find what is 16/7 plus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 17/14 as a fraction and decimal.

Summary: 16/7 plus 17/14 = 7/2
Since both fractions have unequal denominators, 16/7 plus 17/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 17/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 14. 14 is the LCM of 7 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (16/7 x 14/14) + (17/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 32/14 and for 17/14 is 17/14. By simplifying this fraction addition 32/14 + 17/14, it becomes 49/14.

CALCULATION: 16/7 + 17/14 as a fraction
16/7 + 17/14 = (?)
16/7 + 17/14 = [(16 x 14) + (17 x 7)]/(7 x 14)
= (224 + 119)/98
= 343/98
= (49 x 7)/(49 x 2)
= 7/2
16/7 + 17/14 = 7/2
16/7 plus 17/14 as a fraction is 7/2.

where
16/7 is a improper fraction as an addend,
17/14 is a improper fraction as an addend,
7/2 is the sum of 16/7 and 17/14.

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16/7 plus 17/14 as a decimal
16/7 + 17/14 = 7/2
7/2 = 3.5
(16/7) + (17/14) as a decimal is 3.5

where
3.5 is the sum of 16/7 and 17/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 17/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 17/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (17/14) using LCM Method:
What is 16/7 plus 17/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 17/14

What to be found?
(16/7) + (17/14) = ?
Find what's the sum of 16/7 and 17/14.

step 2 Compare the denominators of fractions 16/7 and 17/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 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 16/7 and 17/14:
The LCM of 7 and 14 is 14.

step 4 Write the fractions 16/7 and 17/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 17/14
= [(16 x 14)/(7 x 14)] + [(17 x 14)/(14 x 14)]

step 5 Simplify the expression to have common denominator:
= 32/14 + 17/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (32/1 + 17/1)
= 1/14 x (32 + 17)

step 7Simplify the above expression further:
= 1/14 x 49
= 49/14
= 7/2
16/7 + 17/14 = 7/2

Hence,
16/7 plus 17/14 as a fraction is 7/2.

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16/7 + 17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 17/14

What to be found?
(16/7)+(17/14) = ?
Find what's the sum of 16/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 14) and rewrite the equation as like the below:
= (16 x 14) + (17 x 7)/(7 x 14)

step 3 Simplify and rewrite the fraction:
= (224 + 119)/98
= 343/98
= 7/2
16/7 + 17/14 = 7/2

Hence,
16/7 plus 17/14 in fraction is 7/2