3/4 - 17/5 as a fraction

Learn how to find what is 3/4 minus 17/5 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 17/5 as a fraction and decimal.

Summary: 3/4 minus 17/5 = -53/20
Since both fractions have unequal denominators, 3/4 minus 17/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 17/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 5. 20 is the LCM of 4 and 5. Multiplying the LCM 20 with the numerators and denominators of both fractions (3/4 x 20/20) - (17/5 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 15/20 and for 17/5 is 68/20. By simplifying this fraction subtraction 15/20 - 68/20, it becomes -53/20.

CALCULATION: 3/4 - 17/5 as a fraction
3/4 - 17/5 = (?)
3/4 - 17/5 = [(3 x 5) - (17 x 4)]/(4 x 5)
= (15 - 68)/20
= -53/20
3/4 - 17/5 = -53/20
3/4 minus 17/5 as a fraction is -53/20.

where
3/4 is a proper fraction as a minuend,
17/5 is a improper fraction as a subtrahend,
-53/20 is the difference between 3/4 and 17/5.

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3/4 minus 17/5 as a decimal
3/4 - 17/5 = -53/20
-53/20 = -2.65
(3/4) - (17/5) as a decimal is -2.65

where
-2.65 is the difference between 3/4 and 17/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/5 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 17/5.
1. LCM method
2. Cross multiplication method.

(3/4) - (17/5) using LCM Method:
What is 3/4 minus 17/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 17/5

What to be found?
(3/4) - (17/5) = ?
Find what's the difference between 3/4 and 17/5.

step 2 Compare the denominators of fractions 3/4 and 17/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 17/5 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 3/4 and 17/5:
The LCM of 4 and 5 is 20.

step 4 Write the fractions 3/4 and 17/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 17/5
= [(3 x 20)/(4 x 20)] - [(17 x 20)/(5 x 20)]

step 5 Simplify the expression to have common denominator:
= 15/20 - 68/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (15/1 - 68/1)
= 1/20 x (15 - 68)

step 7Simplify the above expression further:
= 1/20 x -53
= -53/20
3/4 - 17/5 = -53/20

Hence,
3/4 minus 17/5 as a fraction is -53/20.

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3/4 - 17/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 17/5

What to be found?
(3/4)-(17/5) = ?
Find what's the difference between 3/4 and 17/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (17 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (3 x 5) - (17 x 4)/(4 x 5)

step 3 Simplify and rewrite the fraction:
= (15 - 68)/20
3/4 - 17/5 = -53/20

Hence,
3/4 minus 17/5 in fraction is -53/20