4/1 - 7/4 as a fraction

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

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

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

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

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4/1 minus 7/4 as a decimal
4/1 - 7/4 = 9/4
9/4 = 2.25
(4/1) - (7/4) as a decimal is 2.25

where
2.25 is the difference between 4/1 and 7/4.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 16/4 - 7/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (16/1 - 7/1)
= 1/4 x (16 - 7)

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

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

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

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

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

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

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