32/102 added to 186/3 in Fraction Form

The result of 32/102 added to 186/3 is: 62 16/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32102 and 1863.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32102 to 32102
Convert 1863 to 6324102

Step 4: Add the Numerators

Add the numerators: 32 + 6324 = 6356

Step 5: Simplify the Fraction

We can simplify 6356102 to its lowest form.
The greatest common divisor (GCD) of 6356 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 317851.

Step 6: Convert to Mixed Number

The fraction 317851 can be written as the mixed number 621651.

Final Answer

The result of 32/102 added to 186/3 is:

32102+1863=621651

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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