69/59 added to 66/3 in Fraction Form

The result of 69/59 added to 66/3 is: 23 10/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6959 and 663.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6959 to 207177
Convert 663 to 3894177

Step 4: Add the Numerators

Add the numerators: 207 + 3894 = 4101

Step 5: Simplify the Fraction

We can simplify 4101177 to its lowest form.
The greatest common divisor (GCD) of 4101 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 136759.

Step 6: Convert to Mixed Number

The fraction 136759 can be written as the mixed number 231059.

Final Answer

The result of 69/59 added to 66/3 is:

6959+663=231059

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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