17/12 - 10/17 as a fraction

Learn how to find what is 17/12 minus 10/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/12 - 10/17 as a fraction and decimal.

Summary: 17/12 minus 10/17 = 169/204
Since both fractions have unequal denominators, 17/12 minus 10/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/12 and fraction 10/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 12 and 17. 204 is the LCM of 12 and 17. Multiplying the LCM 204 with the numerators and denominators of both fractions (17/12 x 204/204) - (10/17 x 204/204), and simplify further in order to have the common denominator. So the equivalent fraction for 17/12 is 289/204 and for 10/17 is 120/204. By simplifying this fraction subtraction 289/204 - 120/204, it becomes 169/204.

Pie Chart Representation: 17/12 - 10/17 = 169/204

CALCULATION: 17/12 - 10/17 as a fraction
17/12 - 10/17 = (?)
17/12 - 10/17 = [(17 x 17) - (10 x 12)]/(12 x 17)
= (289 - 120)/204
= 169/204
17/12 - 10/17 = 169/204
17/12 minus 10/17 as a fraction is 169/204.

where
17/12 is a improper fraction as a minuend,
10/17 is a proper fraction as a subtrahend,
169/204 is the difference between 17/12 and 10/17.

---

17/12 minus 10/17 as a decimal
17/12 - 10/17 = 169/204
169/204 = 0.8284
(17/12) - (10/17) as a decimal is 0.8284

where
0.8284 is the difference between 17/12 and 10/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/17 from 17/12. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/12 minus 10/17.
1. LCM method
2. Cross multiplication method.

(17/12) - (10/17) using LCM Method:
What is 17/12 minus 10/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/12
Fraction B: 10/17

What to be found?
(17/12) - (10/17) = ?
Find what's the difference between 17/12 and 10/17.

step 2 Compare the denominators of fractions 17/12 and 10/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/12 and 10/17 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 17/12 and 10/17:
The LCM of 12 and 17 is 204.

step 4 Write the fractions 17/12 and 10/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/12 - 10/17
= [(17 x 204)/(12 x 204)] - [(10 x 204)/(17 x 204)]

step 5 Simplify the expression to have common denominator:
= 289/204 - 120/204

step 6 Take the common values out and rewrite the above expression like the below:
= 1/204 x (289/1 - 120/1)
= 1/204 x (289 - 120)

step 7Simplify the above expression further:
= 1/204 x 169
= 169/204
17/12 - 10/17 = 169/204

Hence,
17/12 minus 10/17 as a fraction is 169/204.

---

17/12 - 10/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/12
Fraction B: 10/17

What to be found?
(17/12)-(10/17) = ?
Find what's the difference between 17/12 and 10/17.

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 (10 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 17) and rewrite the equation as like the below:
= (17 x 17) - (10 x 12)/(12 x 17)

step 3 Simplify and rewrite the fraction:
= (289 - 120)/204
17/12 - 10/17 = 169/204

Hence,
17/12 minus 10/17 in fraction is 169/204