11/4 - 7 as a fraction

Learn how to find what is 11/4 minus 7 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 - 7 as a fraction and decimal.

Summary: 11/4 minus 7 = -17/4
Since both fractions have unequal denominators, 11/4 minus 7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (11/4 x 4/4) - (7 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 11/4 and for 7 is 28/4. By simplifying this fraction subtraction 11/4 - 28/4, it becomes -17/4.

CALCULATION: 11/4 - 7 as a fraction
11/4 - 7 = (?)
11/4 - 7/1 = [(11 x 1) - (7 x 4)]/(4 x 1)
= (11 - 28)/4
= -17/4
11/4 - 7 = -17/4
11/4 minus 7 as a fraction is -17/4.

where
11/4 is a improper fraction as a minuend,
7 is a whole number as a subtrahend,
-17/4 is the difference between 11/4 and 7.

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11/4 minus 7 as a decimal
11/4 - 7 = -17/4
-17/4 = -4.25
(11/4) - (7) as a decimal is -4.25

where
-4.25 is the difference between 11/4 and 7.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 7 from 11/4. use any one of the following methods to find the equivalent fraction for 11/4 minus 7.
1. LCM method
2. Cross multiplication method.

(11/4) - (7) using LCM Method:
What is 11/4 minus 7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 7/1

What to be found?
(11/4) - (7) = ?
Find what's the difference between 11/4 and 7.

step 2 Compare the denominators of fractions 11/4 and 7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/4 and 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 11/4 and 7:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 11/4 and 7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 - 7
= [(11 x 4)/(4 x 4)] - [(7 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 11/4 - 28/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (11/1 - 28/1)
= 1/4 x (11 - 28)

step 7Simplify the above expression further:
= 1/4 x -17
= -17/4
11/4 - 7 = -17/4

Hence,
11/4 minus 7 as a fraction is -17/4.

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11/4 - 7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 7/1

What to be found?
(11/4)-(7) = ?
Find what's the difference between 11/4 and 7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 1), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (11 x 1) - (7 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (11 - 28)/4
11/4 - 7 = -17/4

Hence,
11/4 minus 7 in fraction is -17/4