32/243 added to 10/2 in Fraction Form

The result of 32/243 added to 10/2 is: 5 32/243

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32243 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 243 and 2 is 486.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32243 to 64486
Convert 102 to 2430486

Step 4: Add the Numerators

Add the numerators: 64 + 2430 = 2494

Step 5: Simplify the Fraction

We can simplify 2494486 to its lowest form.
The greatest common divisor (GCD) of 2494 and 486 is 2.
Dividing both numerator and denominator by the GCD, we get 1247243.

Step 6: Convert to Mixed Number

The fraction 1247243 can be written as the mixed number 532243.

Final Answer

The result of 32/243 added to 10/2 is:

32243+102=532243

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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