20/214 added to 85/3 in Fraction Form

The result of 20/214 added to 85/3 is: 28 137/321

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20214 and 853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 3 is 642.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20214 to 60642
Convert 853 to 18190642

Step 4: Add the Numerators

Add the numerators: 60 + 18190 = 18250

Step 5: Simplify the Fraction

We can simplify 18250642 to its lowest form.
The greatest common divisor (GCD) of 18250 and 642 is 2.
Dividing both numerator and denominator by the GCD, we get 9125321.

Step 6: Convert to Mixed Number

The fraction 9125321 can be written as the mixed number 28137321.

Final Answer

The result of 20/214 added to 85/3 is:

20214+853=28137321

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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