What is 17/9 - 5/17 in fraction?
17/9 - 5/17 equals to 244/153 in fraction form.
Learn how to find what is 17/9 minus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 - 5/17 as a fraction and decimal.
Summary: 17/9 minus 5/17 = 244/153
Since both fractions have unequal denominators, 17/9 minus 5/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 17. 153 is the LCM of 9 and 17. Multiplying the LCM 153 with the numerators and denominators of both fractions (17/9 x 153/153) - (5/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 289/153 and for 5/17 is 45/153. By simplifying this fraction subtraction 289/153 - 45/153, it becomes 244/153.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/17 from 17/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/9 minus 5/17.
1. LCM method
2. Cross multiplication method.
(17/9) - (5/17) using LCM Method:
What is 17/9 minus 5/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 5/17
What to be found?
(17/9) - (5/17) = ?
Find what's the difference between 17/9 and 5/17.
step 2 Compare the denominators of fractions 17/9 and 5/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/9 and 5/17 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 17/9 and 5/17:
The LCM of 9 and 17 is 153.
step 4 Write the fractions 17/9 and 5/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 - 5/17
= [(17 x 153)/(9 x 153)] - [(5 x 153)/(17 x 153)]
step 5 Simplify the expression to have common denominator:
= 289/153 - 45/153
step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (289/1 - 45/1)
= 1/153 x (289 - 45)
step 7Simplify the above expression further:
= 1/153 x 244
= 244/153
17/9 - 5/17 = 244/153
Hence,
17/9 minus 5/17 as a fraction is 244/153.
17/9 - 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 5/17
What to be found?
(17/9)-(5/17) = ?
Find what's the difference between 17/9 and 5/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 17), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 17) and rewrite the equation as like the below:
= (17 x 17) - (5 x 9)/(9 x 17)
step 3 Simplify and rewrite the fraction:
= (289 - 45)/153
17/9 - 5/17 = 244/153
Hence,
17/9 minus 5/17 in fraction is 244/153