17/2 - 10 as a fraction

Learn how to find what is 17/2 minus 10 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 - 10 as a fraction and decimal.

Summary: 17/2 minus 10 = -3/2
Since both fractions have unequal denominators, 17/2 minus 10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (17/2 x 2/2) - (10 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 17/2 and for 10 is 20/2. By simplifying this fraction subtraction 17/2 - 20/2, it becomes -3/2.

CALCULATION: 17/2 - 10 as a fraction
17/2 - 10 = (?)
17/2 - 10/1 = [(17 x 1) - (10 x 2)]/(2 x 1)
= (17 - 20)/2
= -3/2
17/2 - 10 = -3/2
17/2 minus 10 as a fraction is -3/2.

where
17/2 is a improper fraction as a minuend,
10 is a whole number as a subtrahend,
-3/2 is the difference between 17/2 and 10.

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17/2 minus 10 as a decimal
17/2 - 10 = -3/2
-3/2 = -1.5
(17/2) - (10) as a decimal is -1.5

where
-1.5 is the difference between 17/2 and 10.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 10 from 17/2. use any one of the following methods to find the equivalent fraction for 17/2 minus 10.
1. LCM method
2. Cross multiplication method.

(17/2) - (10) using LCM Method:
What is 17/2 minus 10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 10/1

What to be found?
(17/2) - (10) = ?
Find what's the difference between 17/2 and 10.

step 2 Compare the denominators of fractions 17/2 and 10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/2 and 10 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 17/2 and 10:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 17/2 and 10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 - 10
= [(17 x 2)/(2 x 2)] - [(10 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 17/2 - 20/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (17/1 - 20/1)
= 1/2 x (17 - 20)

step 7Simplify the above expression further:
= 1/2 x -3
= -3/2
17/2 - 10 = -3/2

Hence,
17/2 minus 10 as a fraction is -3/2.

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17/2 - 10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 10/1

What to be found?
(17/2)-(10) = ?
Find what's the difference between 17/2 and 10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (17 x 1) - (10 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (17 - 20)/2
17/2 - 10 = -3/2

Hence,
17/2 minus 10 in fraction is -3/2