23/271 added to 16/2 in Fraction Form

The result of 23/271 added to 16/2 is: 8 23/271

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23271 and 162.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 271 and 2 is 542.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23271 to 46542
Convert 162 to 4336542

Step 4: Add the Numerators

Add the numerators: 46 + 4336 = 4382

Step 5: Simplify the Fraction

We can simplify 4382542 to its lowest form.
The greatest common divisor (GCD) of 4382 and 542 is 2.
Dividing both numerator and denominator by the GCD, we get 2191271.

Step 6: Convert to Mixed Number

The fraction 2191271 can be written as the mixed number 823271.

Final Answer

The result of 23/271 added to 16/2 is:

23271+162=823271

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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