16/23 added to 256/2 in Fraction Form

The result of 16/23 added to 256/2 is: 128 16/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1623 and 2562.

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 1623 to 3246
Convert 2562 to 588846

Step 4: Add the Numerators

Add the numerators: 32 + 5888 = 5920

Step 5: Simplify the Fraction

We can simplify 592046 to its lowest form.
The greatest common divisor (GCD) of 5920 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 296023.

Step 6: Convert to Mixed Number

The fraction 296023 can be written as the mixed number 1281623.

Final Answer

The result of 16/23 added to 256/2 is:

1623+2562=1281623

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: