213/77 added to 8/2 in Fraction Form

The result of 213/77 added to 8/2 is: 6 59/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21377 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 77 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21377 to 426154
Convert 82 to 616154

Step 4: Add the Numerators

Add the numerators: 426 + 616 = 1042

Step 5: Simplify the Fraction

We can simplify 1042154 to its lowest form.
The greatest common divisor (GCD) of 1042 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 52177.

Step 6: Convert to Mixed Number

The fraction 52177 can be written as the mixed number 65977.

Final Answer

The result of 213/77 added to 8/2 is:

21377+82=65977

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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