21/185 added to 102/3 in Fraction Form

The result of 21/185 added to 102/3 is: 34 21/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21185 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21185 to 63555
Convert 1023 to 18870555

Step 4: Add the Numerators

Add the numerators: 63 + 18870 = 18933

Step 5: Simplify the Fraction

We can simplify 18933555 to its lowest form.
The greatest common divisor (GCD) of 18933 and 555 is 3.
Dividing both numerator and denominator by the GCD, we get 6311185.

Step 6: Convert to Mixed Number

The fraction 6311185 can be written as the mixed number 3421185.

Final Answer

The result of 21/185 added to 102/3 is:

21185+1023=3421185

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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