4 - 11/7 as a fraction

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

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

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

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

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

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

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/7 from 4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4 minus 11/7.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

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

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

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

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

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

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

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

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

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