3/5 - 9/17 as a fraction

Learn how to find what is 3/5 minus 9/17 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 9/17 as a fraction and decimal.

Summary: 3/5 minus 9/17 = 6/85
Since both fractions have unequal denominators, 3/5 minus 9/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 9/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (3/5 x 85/85) - (9/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 51/85 and for 9/17 is 45/85. By simplifying this fraction subtraction 51/85 - 45/85, it becomes 6/85.

Pie Chart Representation: 3/5 - 9/17 = 6/85

CALCULATION: 3/5 - 9/17 as a fraction
3/5 - 9/17 = (?)
3/5 - 9/17 = [(3 x 17) - (9 x 5)]/(5 x 17)
= (51 - 45)/85
= 6/85
3/5 - 9/17 = 6/85
3/5 minus 9/17 as a fraction is 6/85.

where
3/5 is a proper fraction as a minuend,
9/17 is a proper fraction as a subtrahend,
6/85 is the difference between 3/5 and 9/17.

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3/5 minus 9/17 as a decimal
3/5 - 9/17 = 6/85
6/85 = 0.0706
(3/5) - (9/17) as a decimal is 0.0706

where
0.0706 is the difference between 3/5 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 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 9/17.
1. LCM method
2. Cross multiplication method.

(3/5) - (9/17) using LCM Method:
What is 3/5 minus 9/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 9/17

What to be found?
(3/5) - (9/17) = ?
Find what's the difference between 3/5 and 9/17.

step 2 Compare the denominators of fractions 3/5 and 9/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 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 3/5 and 9/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 3/5 and 9/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 9/17
= [(3 x 85)/(5 x 85)] - [(9 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 51/85 - 45/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (51/1 - 45/1)
= 1/85 x (51 - 45)

step 7Simplify the above expression further:
= 1/85 x 6
= 6/85
3/5 - 9/17 = 6/85

Hence,
3/5 minus 9/17 as a fraction is 6/85.

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3/5 - 9/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 9/17

What to be found?
(3/5)-(9/17) = ?
Find what's the difference between 3/5 and 9/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 17), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:
= (3 x 17) - (9 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:
= (51 - 45)/85
3/5 - 9/17 = 6/85

Hence,
3/5 minus 9/17 in fraction is 6/85