259/8 added to 21/3 in Fraction Form

The result of 259/8 added to 21/3 is: 39 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2598 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2598 to 77724
Convert 213 to 16824

Step 4: Add the Numerators

Add the numerators: 777 + 168 = 945

Step 5: Simplify the Fraction

We can simplify 94524 to its lowest form.
The greatest common divisor (GCD) of 945 and 24 is 3.
Dividing both numerator and denominator by the GCD, we get 3158.

Step 6: Convert to Mixed Number

The fraction 3158 can be written as the mixed number 3938.

Final Answer

The result of 259/8 added to 21/3 is:

2598+213=3938

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

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