11/7 - 4 as a fraction

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

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

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

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

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11/7 minus 4 as a decimal
11/7 - 4 = -17/7
-17/7 = -2.4286
(11/7) - (4) as a decimal is -2.4286

where
-2.4286 is the difference between 11/7 and 4.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 11/7 - 28/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (11/1 - 28/1)
= 1/7 x (11 - 28)

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

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

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

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

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

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

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