82/21 added to 47/4 in Fraction Form

The result of 82/21 added to 47/4 is: 15 55/84

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8221 and 474.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8221 to 32884
Convert 474 to 98784

Step 4: Add the Numerators

Add the numerators: 328 + 987 = 1315

Step 5: Convert to Mixed Number

The fraction 131584 can be written as the mixed number 155584.

Final Answer

The result of 82/21 added to 47/4 is:

8221+474=155584

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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