17/7 - 1/4 as a fraction

Learn how to find what is 17/7 minus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 17/7 - 1/4 as a fraction and decimal.

Summary: 17/7 minus 1/4 = 61/28
Since both fractions have unequal denominators, 17/7 minus 1/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 1/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (17/7 x 28/28) - (1/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 68/28 and for 1/4 is 7/28. By simplifying this fraction subtraction 68/28 - 7/28, it becomes 61/28.

CALCULATION: 17/7 - 1/4 as a fraction
17/7 - 1/4 = (?)
17/7 - 1/4 = [(17 x 4) - (1 x 7)]/(7 x 4)
= (68 - 7)/28
= 61/28
17/7 - 1/4 = 61/28
17/7 minus 1/4 as a fraction is 61/28.

where
17/7 is a improper fraction as a minuend,
1/4 is a proper fraction as a subtrahend,
61/28 is the difference between 17/7 and 1/4.

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17/7 minus 1/4 as a decimal
17/7 - 1/4 = 61/28
61/28 = 2.1786
(17/7) - (1/4) as a decimal is 2.1786

where
2.1786 is the difference between 17/7 and 1/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/4 from 17/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/7 minus 1/4.
1. LCM method
2. Cross multiplication method.

(17/7) - (1/4) using LCM Method:
What is 17/7 minus 1/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 1/4

What to be found?
(17/7) - (1/4) = ?
Find what's the difference between 17/7 and 1/4.

step 2 Compare the denominators of fractions 17/7 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/7 and 1/4 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 17/7 and 1/4:
The LCM of 7 and 4 is 28.

step 4 Write the fractions 17/7 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/7 - 1/4
= [(17 x 28)/(7 x 28)] - [(1 x 28)/(4 x 28)]

step 5 Simplify the expression to have common denominator:
= 68/28 - 7/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (68/1 - 7/1)
= 1/28 x (68 - 7)

step 7Simplify the above expression further:
= 1/28 x 61
= 61/28
17/7 - 1/4 = 61/28

Hence,
17/7 minus 1/4 as a fraction is 61/28.

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17/7 - 1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 1/4

What to be found?
(17/7)-(1/4) = ?
Find what's the difference between 17/7 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (17 x 4) - (1 x 7)/(7 x 4)

step 3 Simplify and rewrite the fraction:
= (68 - 7)/28
17/7 - 1/4 = 61/28

Hence,
17/7 minus 1/4 in fraction is 61/28