20/142 added to 59/3 in Fraction Form

The result of 20/142 added to 59/3 is: 19 172/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20142 and 593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 3 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20142 to 60426
Convert 593 to 8378426

Step 4: Add the Numerators

Add the numerators: 60 + 8378 = 8438

Step 5: Simplify the Fraction

We can simplify 8438426 to its lowest form.
The greatest common divisor (GCD) of 8438 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 4219213.

Step 6: Convert to Mixed Number

The fraction 4219213 can be written as the mixed number 19172213.

Final Answer

The result of 20/142 added to 59/3 is:

20142+593=19172213

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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