3/5 - 17 as a fraction

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

Summary: 3/5 minus 17 = -82/5
Since both fractions have unequal denominators, 3/5 minus 17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (3/5 x 5/5) - (17 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 3/5 and for 17 is 85/5. By simplifying this fraction subtraction 3/5 - 85/5, it becomes -82/5.

CALCULATION: 3/5 - 17 as a fraction
3/5 - 17 = (?)
3/5 - 17/1 = [(3 x 1) - (17 x 5)]/(5 x 1)
= (3 - 85)/5
= -82/5
3/5 - 17 = -82/5
3/5 minus 17 as a fraction is -82/5.

where
3/5 is a proper fraction as a minuend,
17 is a whole number as a subtrahend,
-82/5 is the difference between 3/5 and 17.

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3/5 minus 17 as a decimal
3/5 - 17 = -82/5
-82/5 = -16.4
(3/5) - (17) as a decimal is -16.4

where
-16.4 is the difference between 3/5 and 17.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 17 from 3/5. use any one of the following methods to find the equivalent fraction for 3/5 minus 17.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 3/5 and 17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 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 17:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 3/5 and 17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 17
= [(3 x 5)/(5 x 5)] - [(17 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 3/5 - 85/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (3/1 - 85/1)
= 1/5 x (3 - 85)

step 7Simplify the above expression further:
= 1/5 x -82
= -82/5
3/5 - 17 = -82/5

Hence,
3/5 minus 17 as a fraction is -82/5.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (3 x 1) - (17 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (3 - 85)/5
3/5 - 17 = -82/5

Hence,
3/5 minus 17 in fraction is -82/5