2/86 added to 43/3 in Fraction Form

The result of 2/86 added to 43/3 is: 14 46/129

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 286 and 433.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 3 is 258.

Step 3: Convert Fractions to Equivalent Fractions

Convert 286 to 6258
Convert 433 to 3698258

Step 4: Add the Numerators

Add the numerators: 6 + 3698 = 3704

Step 5: Simplify the Fraction

We can simplify 3704258 to its lowest form.
The greatest common divisor (GCD) of 3704 and 258 is 2.
Dividing both numerator and denominator by the GCD, we get 1852129.

Step 6: Convert to Mixed Number

The fraction 1852129 can be written as the mixed number 1446129.

Final Answer

The result of 2/86 added to 43/3 is:

286+433=1446129

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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