8/3 - 9/17 as a fraction

Learn how to find what is 8/3 minus 9/17 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 - 9/17 as a fraction and decimal.

Summary: 8/3 minus 9/17 = 109/51
Since both fractions have unequal denominators, 8/3 minus 9/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 9/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 17. 51 is the LCM of 3 and 17. Multiplying the LCM 51 with the numerators and denominators of both fractions (8/3 x 51/51) - (9/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 136/51 and for 9/17 is 27/51. By simplifying this fraction subtraction 136/51 - 27/51, it becomes 109/51.

CALCULATION: 8/3 - 9/17 as a fraction
8/3 - 9/17 = (?)
8/3 - 9/17 = [(8 x 17) - (9 x 3)]/(3 x 17)
= (136 - 27)/51
= 109/51
8/3 - 9/17 = 109/51
8/3 minus 9/17 as a fraction is 109/51.

where
8/3 is a improper fraction as a minuend,
9/17 is a proper fraction as a subtrahend,
109/51 is the difference between 8/3 and 9/17.

---

8/3 minus 9/17 as a decimal
8/3 - 9/17 = 109/51
109/51 = 2.1373
(8/3) - (9/17) as a decimal is 2.1373

where
2.1373 is the difference between 8/3 and 9/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/17 from 8/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/3 minus 9/17.
1. LCM method
2. Cross multiplication method.

(8/3) - (9/17) using LCM Method:
What is 8/3 minus 9/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 9/17

What to be found?
(8/3) - (9/17) = ?
Find what's the difference between 8/3 and 9/17.

step 2 Compare the denominators of fractions 8/3 and 9/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/3 and 9/17 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 8/3 and 9/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 8/3 and 9/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 - 9/17
= [(8 x 51)/(3 x 51)] - [(9 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 136/51 - 27/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (136/1 - 27/1)
= 1/51 x (136 - 27)

step 7Simplify the above expression further:
= 1/51 x 109
= 109/51
8/3 - 9/17 = 109/51

Hence,
8/3 minus 9/17 as a fraction is 109/51.

---

8/3 - 9/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 9/17

What to be found?
(8/3)-(9/17) = ?
Find what's the difference between 8/3 and 9/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 17), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (8 x 17) - (9 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (136 - 27)/51
8/3 - 9/17 = 109/51

Hence,
8/3 minus 9/17 in fraction is 109/51