66/118 added to 67/3 in Fraction Form

The result of 66/118 added to 67/3 is: 22 158/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 66118 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 66118 to 198354
Convert 673 to 7906354

Step 4: Add the Numerators

Add the numerators: 198 + 7906 = 8104

Step 5: Simplify the Fraction

We can simplify 8104354 to its lowest form.
The greatest common divisor (GCD) of 8104 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 4052177.

Step 6: Convert to Mixed Number

The fraction 4052177 can be written as the mixed number 22158177.

Final Answer

The result of 66/118 added to 67/3 is:

66118+673=22158177

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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