256/20 added to 2/3 in Fraction Form

The result of 256/20 added to 2/3 is: 13 7/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25620 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 3 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 25620 to 76860
Convert 23 to 4060

Step 4: Add the Numerators

Add the numerators: 768 + 40 = 808

Step 5: Simplify the Fraction

We can simplify 80860 to its lowest form.
The greatest common divisor (GCD) of 808 and 60 is 4.
Dividing both numerator and denominator by the GCD, we get 20215.

Step 6: Convert to Mixed Number

The fraction 20215 can be written as the mixed number 13715.

Final Answer

The result of 256/20 added to 2/3 is:

25620+23=13715

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: