83/21 added to 23/8 in Fraction Form

The result of 83/21 added to 23/8 is: 6 139/168

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8321 and 238.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 8 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8321 to 664168
Convert 238 to 483168

Step 4: Add the Numerators

Add the numerators: 664 + 483 = 1147

Step 5: Convert to Mixed Number

The fraction 1147168 can be written as the mixed number 6139168.

Final Answer

The result of 83/21 added to 23/8 is:

8321+238=6139168

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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