100/185 added to 32/4 in Fraction Form

The result of 100/185 added to 32/4 is: 8 20/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 100185 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 100185 to 400740
Convert 324 to 5920740

Step 4: Add the Numerators

Add the numerators: 400 + 5920 = 6320

Step 5: Simplify the Fraction

We can simplify 6320740 to its lowest form.
The greatest common divisor (GCD) of 6320 and 740 is 20.
Dividing both numerator and denominator by the GCD, we get 31637.

Step 6: Convert to Mixed Number

The fraction 31637 can be written as the mixed number 82037.

Final Answer

The result of 100/185 added to 32/4 is:

100185+324=82037

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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