67/73 added to 12/3 in Fraction Form

The result of 67/73 added to 12/3 is: 4 67/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6773 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 3 is 219.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6773 to 201219
Convert 123 to 876219

Step 4: Add the Numerators

Add the numerators: 201 + 876 = 1077

Step 5: Simplify the Fraction

We can simplify 1077219 to its lowest form.
The greatest common divisor (GCD) of 1077 and 219 is 3.
Dividing both numerator and denominator by the GCD, we get 35973.

Step 6: Convert to Mixed Number

The fraction 35973 can be written as the mixed number 46773.

Final Answer

The result of 67/73 added to 12/3 is:

6773+123=46773

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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