24/171 added to 92/2 in Fraction Form

The result of 24/171 added to 92/2 is: 46 8/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24171 and 922.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 2 is 342.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24171 to 48342
Convert 922 to 15732342

Step 4: Add the Numerators

Add the numerators: 48 + 15732 = 15780

Step 5: Simplify the Fraction

We can simplify 15780342 to its lowest form.
The greatest common divisor (GCD) of 15780 and 342 is 6.
Dividing both numerator and denominator by the GCD, we get 263057.

Step 6: Convert to Mixed Number

The fraction 263057 can be written as the mixed number 46857.

Final Answer

The result of 24/171 added to 92/2 is:

24171+922=46857

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).

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