102/185 added to 32/4 in Fraction Form

The result of 102/185 added to 32/4 is: 8 102/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102185 and 324.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102185 to 408740
Convert 324 to 5920740

Step 4: Add the Numerators

Add the numerators: 408 + 5920 = 6328

Step 5: Simplify the Fraction

We can simplify 6328740 to its lowest form.
The greatest common divisor (GCD) of 6328 and 740 is 4.
Dividing both numerator and denominator by the GCD, we get 1582185.

Step 6: Convert to Mixed Number

The fraction 1582185 can be written as the mixed number 8102185.

Final Answer

The result of 102/185 added to 32/4 is:

102185+324=8102185

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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