69/43 added to 3/6 in Fraction Form

The result of 69/43 added to 3/6 is: 2 9/86

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6943 and 36.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 6 is 258.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6943 to 414258
Convert 36 to 129258

Step 4: Add the Numerators

Add the numerators: 414 + 129 = 543

Step 5: Simplify the Fraction

We can simplify 543258 to its lowest form.
The greatest common divisor (GCD) of 543 and 258 is 3.
Dividing both numerator and denominator by the GCD, we get 18186.

Step 6: Convert to Mixed Number

The fraction 18186 can be written as the mixed number 2986.

Final Answer

The result of 69/43 added to 3/6 is:

6943+36=2986

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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