4/5 - 17/20 as a fraction

Learn how to find what is 4/5 minus 17/20 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 17/20 as a fraction and decimal.

Summary: 4/5 minus 17/20 = -1/20
Since both fractions have unequal denominators, 4/5 minus 17/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 17/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (4/5 x 20/20) - (17/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 16/20 and for 17/20 is 17/20. By simplifying this fraction subtraction 16/20 - 17/20, it becomes -1/20.

CALCULATION: 4/5 - 17/20 as a fraction
4/5 - 17/20 = (?)
4/5 - 17/20 = [(4 x 20) - (17 x 5)]/(5 x 20)
= (80 - 85)/100
= -5/100
= (5 x -1)/(5 x 20)
= -1/20
4/5 - 17/20 = -1/20
4/5 minus 17/20 as a fraction is -1/20.

where
4/5 is a proper fraction as a minuend,
17/20 is a proper fraction as a subtrahend,
-1/20 is the difference between 4/5 and 17/20.

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4/5 minus 17/20 as a decimal
4/5 - 17/20 = -1/20
-1/20 = -0.05
(4/5) - (17/20) as a decimal is -0.05

where
-0.05 is the difference between 4/5 and 17/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/20 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 17/20.
1. LCM method
2. Cross multiplication method.

(4/5) - (17/20) using LCM Method:
What is 4/5 minus 17/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 17/20

What to be found?
(4/5) - (17/20) = ?
Find what's the difference between 4/5 and 17/20.

step 2 Compare the denominators of fractions 4/5 and 17/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 17/20 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 4/5 and 17/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 4/5 and 17/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 17/20
= [(4 x 20)/(5 x 20)] - [(17 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 16/20 - 17/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (16/1 - 17/1)
= 1/20 x (16 - 17)

step 7Simplify the above expression further:
= 1/20 x -1
= -1/20
4/5 - 17/20 = -1/20

Hence,
4/5 minus 17/20 as a fraction is -1/20.

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4/5 - 17/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 17/20

What to be found?
(4/5)-(17/20) = ?
Find what's the difference between 4/5 and 17/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 20), 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 20) and rewrite the equation as like the below:
= (4 x 20) - (17 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (80 - 85)/100
= -5/100
= -1/20
4/5 - 17/20 = -1/20

Hence,
4/5 minus 17/20 in fraction is -1/20