What is 9/14 + 17 in fraction?
9/14 + 17 equals to 247/14 in fraction form.
Learn how to find what is 9/14 plus 17 in fraction form just in a few minutes. We have covered the easiest method to write 9/14 + 17 as a fraction and decimal.
Summary: 9/14 plus 17 = 247/14
Since both fractions have unequal denominators, 9/14 plus 17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/14 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 1. 14 is the LCM of 14 and 1. Multiplying the LCM 14 with the numerators and denominators of both fractions (9/14 x 14/14) + (17 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 9/14 is 9/14 and for 17 is 238/14. By simplifying this fraction addition 9/14 + 238/14, it becomes 247/14.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/14 and 17 by adding fraction to a whole number . The sum in fraction form for 9/14 plus 17/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(9/14) + (17) using LCM Method:
What is 9/14 plus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/14
Fraction B: 17/1
What to be found?
(9/14) + (17) = ?
Find what's the sum of 9/14 and 17.
step 2 Compare the denominators of fractions 9/14 and 17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/14 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 9/14 and 17:
The LCM of 14 and 1 is 14.
step 4 Write the fractions 9/14 and 17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/14 + 17
= [(9 x 14)/(14 x 14)] + [(17 x 14)/(1 x 14)]
step 5 Simplify the expression to have common denominator:
= 9/14 + 238/14
step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (9/1 + 238/1)
= 1/14 x (9 + 238)
step 7Simplify the above expression further:
= 1/14 x 247
= 247/14
9/14 + 17 = 247/14
Hence,
9/14 plus 17 as a fraction is 247/14.
9/14 + 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/14
Fraction B: 17/1
What to be found?
(9/14)+(17) = ?
Find what's the sum of 9/14 and 17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 14), and find the product of both denominators of Fraction A and Fraction B (14 x 1) and rewrite the equation as like the below:
= (9 x 1) + (17 x 14)/(14 x 1)
step 3 Simplify and rewrite the fraction:
= (9 + 238)/14
9/14 + 17 = 247/14
Hence,
9/14 plus 17 in fraction is 247/14