80/23 added to 21/3 in Fraction Form

The result of 80/23 added to 21/3 is: 10 11/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8023 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 3 is 69.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8023 to 24069
Convert 213 to 48369

Step 4: Add the Numerators

Add the numerators: 240 + 483 = 723

Step 5: Simplify the Fraction

We can simplify 72369 to its lowest form.
The greatest common divisor (GCD) of 723 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get 24123.

Step 6: Convert to Mixed Number

The fraction 24123 can be written as the mixed number 101123.

Final Answer

The result of 80/23 added to 21/3 is:

8023+213=101123

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).

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