What is 17/5 + 17 in fraction?
17/5 + 17 equals to 102/5 in fraction form.
Learn how to find what is 17/5 plus 17 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 + 17 as a fraction and decimal.
Summary: 17/5 plus 17 = 102/5
Since both fractions have unequal denominators, 17/5 plus 17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (17/5 x 5/5) + (17 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 17/5 and for 17 is 85/5. By simplifying this fraction addition 17/5 + 85/5, it becomes 102/5.
The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 17 by adding fraction to a whole number . The sum in fraction form for 17/5 plus 17/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(17/5) + (17) using LCM Method:
What is 17/5 plus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 17/1
What to be found?
(17/5) + (17) = ?
Find what's the sum of 17/5 and 17.
step 2 Compare the denominators of fractions 17/5 and 17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 and 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 17/5 and 17:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 17/5 and 17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 17
= [(17 x 5)/(5 x 5)] + [(17 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 17/5 + 85/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (17/1 + 85/1)
= 1/5 x (17 + 85)
step 7Simplify the above expression further:
= 1/5 x 102
= 102/5
17/5 + 17 = 102/5
Hence,
17/5 plus 17 as a fraction is 102/5.
17/5 + 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 17/1
What to be found?
(17/5)+(17) = ?
Find what's the sum of 17/5 and 17.
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 (17 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (17 x 1) + (17 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (17 + 85)/5
17/5 + 17 = 102/5
Hence,
17/5 plus 17 in fraction is 102/5