27/67 added to 212/3 in Fraction Form

The result of 27/67 added to 212/3 is: 71 14/201

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2767 and 2123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2767 to 81201
Convert 2123 to 14204201

Step 4: Add the Numerators

Add the numerators: 81 + 14204 = 14285

Step 5: Convert to Mixed Number

The fraction 14285201 can be written as the mixed number 7114201.

Final Answer

The result of 27/67 added to 212/3 is:

2767+2123=7114201

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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