47/11 subtracted by 3/3 in Fraction Form

The result of 47/11 subtracted by 3/3 is: 3 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 33 from 4711.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 11 and 3 is 33.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4711 to 14133
Convert 33 to 3333

Step 4: Subtract the Numerators

Subtract the numerators: 141 - 33 = 108

Step 5: Simplify the Fraction

We can simplify 10833 to its lowest form.
The greatest common divisor (GCD) of 108 and 33 is 3.
Dividing both numerator and denominator by the GCD, we get 3611.

Step 6: Convert to Mixed Number

The fraction 3611 can be written as the mixed number 3311.

Final Answer

The result of 47/11 subtracted by 3/3 is:

471133=3311

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).

Fraction Calculator

Calculate operations between any two fractions: