24/151 added to 164/4 in Fraction Form

The result of 24/151 added to 164/4 is: 41 24/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24151 and 1644.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 4 is 604.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24151 to 96604
Convert 1644 to 24764604

Step 4: Add the Numerators

Add the numerators: 96 + 24764 = 24860

Step 5: Simplify the Fraction

We can simplify 24860604 to its lowest form.
The greatest common divisor (GCD) of 24860 and 604 is 4.
Dividing both numerator and denominator by the GCD, we get 6215151.

Step 6: Convert to Mixed Number

The fraction 6215151 can be written as the mixed number 4124151.

Final Answer

The result of 24/151 added to 164/4 is:

24151+1644=4124151

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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