86/7 added to 213/3 in Fraction Form

The result of 86/7 added to 213/3 is: 83 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 867 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 867 to 25821
Convert 2133 to 149121

Step 4: Add the Numerators

Add the numerators: 258 + 1491 = 1749

Step 5: Simplify the Fraction

We can simplify 174921 to its lowest form.
The greatest common divisor (GCD) of 1749 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 5837.

Step 6: Convert to Mixed Number

The fraction 5837 can be written as the mixed number 8327.

Final Answer

The result of 86/7 added to 213/3 is:

867+2133=8327

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).

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