86/213 added to 2/3 in Fraction Form

The result of 86/213 added to 2/3 is: 1 5/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 86213 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 86213 to 86213
Convert 23 to 142213

Step 4: Add the Numerators

Add the numerators: 86 + 142 = 228

Step 5: Simplify the Fraction

We can simplify 228213 to its lowest form.
The greatest common divisor (GCD) of 228 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 7671.

Step 6: Convert to Mixed Number

The fraction 7671 can be written as the mixed number 1571.

Final Answer

The result of 86/213 added to 2/3 is:

86213+23=1571

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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