57/23 added to 82/2 in Fraction Form

The result of 57/23 added to 82/2 is: 43 11/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5723 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5723 to 11446
Convert 822 to 188646

Step 4: Add the Numerators

Add the numerators: 114 + 1886 = 2000

Step 5: Simplify the Fraction

We can simplify 200046 to its lowest form.
The greatest common divisor (GCD) of 2000 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 100023.

Step 6: Convert to Mixed Number

The fraction 100023 can be written as the mixed number 431123.

Final Answer

The result of 57/23 added to 82/2 is:

5723+822=431123

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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: