1/4 - 4/7 as a fraction

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

Summary: 1/4 minus 4/7 = -9/28
Since both fractions have unequal denominators, 1/4 minus 4/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 4/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (1/4 x 28/28) - (4/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 7/28 and for 4/7 is 16/28. By simplifying this fraction subtraction 7/28 - 16/28, it becomes -9/28.

CALCULATION: 1/4 - 4/7 as a fraction
1/4 - 4/7 = (?)
1/4 - 4/7 = [(1 x 7) - (4 x 4)]/(4 x 7)
= (7 - 16)/28
= -9/28
1/4 - 4/7 = -9/28
1/4 minus 4/7 as a fraction is -9/28.

where
1/4 is a proper fraction as a minuend,
4/7 is a proper fraction as a subtrahend,
-9/28 is the difference between 1/4 and 4/7.

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1/4 minus 4/7 as a decimal
1/4 - 4/7 = -9/28
-9/28 = -0.3214
(1/4) - (4/7) as a decimal is -0.3214

where
-0.3214 is the difference between 1/4 and 4/7.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 7/28 - 16/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (7/1 - 16/1)
= 1/28 x (7 - 16)

step 7Simplify the above expression further:
= 1/28 x -9
= -9/28
1/4 - 4/7 = -9/28

Hence,
1/4 minus 4/7 as a fraction is -9/28.

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

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

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

step 3 Simplify and rewrite the fraction:
= (7 - 16)/28
1/4 - 4/7 = -9/28

Hence,
1/4 minus 4/7 in fraction is -9/28