24/237 added to 10/2 in Fraction Form

The result of 24/237 added to 10/2 is: 5 8/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24237 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 2 is 474.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24237 to 48474
Convert 102 to 2370474

Step 4: Add the Numerators

Add the numerators: 48 + 2370 = 2418

Step 5: Simplify the Fraction

We can simplify 2418474 to its lowest form.
The greatest common divisor (GCD) of 2418 and 474 is 6.
Dividing both numerator and denominator by the GCD, we get 40379.

Step 6: Convert to Mixed Number

The fraction 40379 can be written as the mixed number 5879.

Final Answer

The result of 24/237 added to 10/2 is:

24237+102=5879

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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