27/213 added to 82/4 in Fraction Form

The result of 27/213 added to 82/4 is: 20 89/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27213 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27213 to 108852
Convert 824 to 17466852

Step 4: Add the Numerators

Add the numerators: 108 + 17466 = 17574

Step 5: Simplify the Fraction

We can simplify 17574852 to its lowest form.
The greatest common divisor (GCD) of 17574 and 852 is 6.
Dividing both numerator and denominator by the GCD, we get 2929142.

Step 6: Convert to Mixed Number

The fraction 2929142 can be written as the mixed number 2089142.

Final Answer

The result of 27/213 added to 82/4 is:

27213+824=2089142

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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