14/5 + 17/14 as a fraction

Learn how to find what is 14/5 plus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 17/14 as a fraction and decimal.

Summary: 14/5 plus 17/14 = 281/70
Since both fractions have unequal denominators, 14/5 plus 17/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 17/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 14. 70 is the LCM of 5 and 14. Multiplying the LCM 70 with the numerators and denominators of both fractions (14/5 x 70/70) + (17/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 196/70 and for 17/14 is 85/70. By simplifying this fraction addition 196/70 + 85/70, it becomes 281/70.

CALCULATION: 14/5 + 17/14 as a fraction
14/5 + 17/14 = (?)
14/5 + 17/14 = [(14 x 14) + (17 x 5)]/(5 x 14)
= (196 + 85)/70
= 281/70
14/5 + 17/14 = 281/70
14/5 plus 17/14 as a fraction is 281/70.

where
14/5 is a improper fraction as an addend,
17/14 is a improper fraction as an addend,
281/70 is the sum of 14/5 and 17/14.

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14/5 plus 17/14 as a decimal
14/5 + 17/14 = 281/70
281/70 = 4.0143
(14/5) + (17/14) as a decimal is 4.0143

where
4.0143 is the sum of 14/5 and 17/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/5 and 17/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/5 plus 17/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/5) + (17/14) using LCM Method:
What is 14/5 plus 17/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/14

What to be found?
(14/5) + (17/14) = ?
Find what's the sum of 14/5 and 17/14.

step 2 Compare the denominators of fractions 14/5 and 17/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/5 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 14/5 and 17/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 14/5 and 17/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 17/14
= [(14 x 70)/(5 x 70)] + [(17 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 196/70 + 85/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (196/1 + 85/1)
= 1/70 x (196 + 85)

step 7Simplify the above expression further:
= 1/70 x 281
= 281/70
14/5 + 17/14 = 281/70

Hence,
14/5 plus 17/14 as a fraction is 281/70.

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14/5 + 17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/14

What to be found?
(14/5)+(17/14) = ?
Find what's the sum of 14/5 and 17/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 14), find the product of numerator of Fraction B and denominator of Fraction A (17 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (14 x 14) + (17 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (196 + 85)/70
14/5 + 17/14 = 281/70

Hence,
14/5 plus 17/14 in fraction is 281/70