20/59 added to 192/3 in Fraction Form

The result of 20/59 added to 192/3 is: 64 20/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2059 and 1923.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2059 to 60177
Convert 1923 to 11328177

Step 4: Add the Numerators

Add the numerators: 60 + 11328 = 11388

Step 5: Simplify the Fraction

We can simplify 11388177 to its lowest form.
The greatest common divisor (GCD) of 11388 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 379659.

Step 6: Convert to Mixed Number

The fraction 379659 can be written as the mixed number 642059.

Final Answer

The result of 20/59 added to 192/3 is:

2059+1923=642059

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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