24/151 added to 102/3 in Fraction Form

The result of 24/151 added to 102/3 is: 34 24/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24151 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 3 is 453.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24151 to 72453
Convert 1023 to 15402453

Step 4: Add the Numerators

Add the numerators: 72 + 15402 = 15474

Step 5: Simplify the Fraction

We can simplify 15474453 to its lowest form.
The greatest common divisor (GCD) of 15474 and 453 is 3.
Dividing both numerator and denominator by the GCD, we get 5158151.

Step 6: Convert to Mixed Number

The fraction 5158151 can be written as the mixed number 3424151.

Final Answer

The result of 24/151 added to 102/3 is:

24151+1023=3424151

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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