17/6 - 7/20 as a fraction

Learn how to find what is 17/6 minus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 - 7/20 as a fraction and decimal.

Summary: 17/6 minus 7/20 = 149/60
Since both fractions have unequal denominators, 17/6 minus 7/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 20. 60 is the LCM of 6 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (17/6 x 60/60) - (7/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 170/60 and for 7/20 is 21/60. By simplifying this fraction subtraction 170/60 - 21/60, it becomes 149/60.

CALCULATION: 17/6 - 7/20 as a fraction
17/6 - 7/20 = (?)
17/6 - 7/20 = [(17 x 20) - (7 x 6)]/(6 x 20)
= (340 - 42)/120
= 298/120
= (2 x 149)/(2 x 60)
= 149/60
17/6 - 7/20 = 149/60
17/6 minus 7/20 as a fraction is 149/60.

where
17/6 is a improper fraction as a minuend,
7/20 is a proper fraction as a subtrahend,
149/60 is the difference between 17/6 and 7/20.

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17/6 minus 7/20 as a decimal
17/6 - 7/20 = 149/60
149/60 = 2.4833
(17/6) - (7/20) as a decimal is 2.4833

where
2.4833 is the difference between 17/6 and 7/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/20 from 17/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/6 minus 7/20.
1. LCM method
2. Cross multiplication method.

(17/6) - (7/20) using LCM Method:
What is 17/6 minus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/20

What to be found?
(17/6) - (7/20) = ?
Find what's the difference between 17/6 and 7/20.

step 2 Compare the denominators of fractions 17/6 and 7/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/6 and 7/20 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 17/6 and 7/20:
The LCM of 6 and 20 is 60.

step 4 Write the fractions 17/6 and 7/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 - 7/20
= [(17 x 60)/(6 x 60)] - [(7 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 170/60 - 21/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (170/1 - 21/1)
= 1/60 x (170 - 21)

step 7Simplify the above expression further:
= 1/60 x 149
= 149/60
17/6 - 7/20 = 149/60

Hence,
17/6 minus 7/20 as a fraction is 149/60.

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17/6 - 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/20

What to be found?
(17/6)-(7/20) = ?
Find what's the difference between 17/6 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 20) and rewrite the equation as like the below:
= (17 x 20) - (7 x 6)/(6 x 20)

step 3 Simplify and rewrite the fraction:
= (340 - 42)/120
= 298/120
= 149/60
17/6 - 7/20 = 149/60

Hence,
17/6 minus 7/20 in fraction is 149/60