27/44 added to 21/3 in Fraction Form

The result of 27/44 added to 21/3 is: 7 27/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2744 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 44 and 3 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2744 to 81132
Convert 213 to 924132

Step 4: Add the Numerators

Add the numerators: 81 + 924 = 1005

Step 5: Simplify the Fraction

We can simplify 1005132 to its lowest form.
The greatest common divisor (GCD) of 1005 and 132 is 3.
Dividing both numerator and denominator by the GCD, we get 33544.

Step 6: Convert to Mixed Number

The fraction 33544 can be written as the mixed number 72744.

Final Answer

The result of 27/44 added to 21/3 is:

2744+213=72744

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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