5/1 + 14/17 as a fraction

Learn how to find what is 5/1 plus 14/17 in fraction form just in a few minutes. We have covered the easiest method to write 5/1 + 14/17 as a fraction and decimal.

Summary: 5/1 plus 14/17 = 99/17
Since both fractions have unequal denominators, 5/1 plus 14/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/1 and fraction 14/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (5/1 x 17/17) + (14/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 5/1 is 85/17 and for 14/17 is 14/17. By simplifying this fraction addition 85/17 + 14/17, it becomes 99/17.

CALCULATION: 5/1 + 14/17 as a fraction
5/1 + 14/17 = (?)
5/1 + 14/17 = [(5 x 17) + (14 x 1)]/(1 x 17)
= (85 + 14)/17
= 99/17
5/1 + 14/17 = 99/17
5/1 plus 14/17 as a fraction is 99/17.

where
5/1 is a improper fraction as an addend,
14/17 is a proper fraction as an addend,
99/17 is the sum of 5/1 and 14/17.

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5/1 plus 14/17 as a decimal
5/1 + 14/17 = 99/17
99/17 = 5.8235
(5/1) + (14/17) as a decimal is 5.8235

where
5.8235 is the sum of 5/1 and 14/17.

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

(5/1) + (14/17) using LCM Method:
What is 5/1 plus 14/17 as a fraction?

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

What to be found?
(5/1) + (14/17) = ?
Find what's the sum of 5/1 and 14/17.

step 2 Compare the denominators of fractions 5/1 and 14/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/1 and 14/17 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 5/1 and 14/17:
The LCM of 1 and 17 is 17.

step 4 Write the fractions 5/1 and 14/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/1 + 14/17
= [(5 x 17)/(1 x 17)] + [(14 x 17)/(17 x 17)]

step 5 Simplify the expression to have common denominator:
= 85/17 + 14/17

step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (85/1 + 14/1)
= 1/17 x (85 + 14)

step 7Simplify the above expression further:
= 1/17 x 99
= 99/17
5/1 + 14/17 = 99/17

Hence,
5/1 plus 14/17 as a fraction is 99/17.

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

What to be found?
(5/1)+(14/17) = ?
Find what's the sum of 5/1 and 14/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 17), find the product of numerator of Fraction B and denominator of Fraction A (14 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (5 x 17) + (14 x 1)/(1 x 17)

step 3 Simplify and rewrite the fraction:
= (85 + 14)/17
5/1 + 14/17 = 99/17

Hence,
5/1 plus 14/17 in fraction is 99/17