21/178 added to 82/3 in Fraction Form

The result of 21/178 added to 82/3 is: 27 241/534

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21178 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 178 and 3 is 534.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21178 to 63534
Convert 823 to 14596534

Step 4: Add the Numerators

Add the numerators: 63 + 14596 = 14659

Step 5: Convert to Mixed Number

The fraction 14659534 can be written as the mixed number 27241534.

Final Answer

The result of 21/178 added to 82/3 is:

21178+823=27241534

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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