51/11 subtracted by 4/2 in Fraction Form

The result of 51/11 subtracted by 4/2 is: 2 7/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 42 from 5111.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 11 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5111 to 10222
Convert 42 to 4422

Step 4: Subtract the Numerators

Subtract the numerators: 102 - 44 = 58

Step 5: Simplify the Fraction

We can simplify 5822 to its lowest form.
The greatest common divisor (GCD) of 58 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 2911.

Step 6: Convert to Mixed Number

The fraction 2911 can be written as the mixed number 2711.

Final Answer

The result of 51/11 subtracted by 4/2 is:

511142=2711

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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