15/67 added to 69/3 in Fraction Form

The result of 15/67 added to 69/3 is: 23 15/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1567 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1567 to 45201
Convert 693 to 4623201

Step 4: Add the Numerators

Add the numerators: 45 + 4623 = 4668

Step 5: Simplify the Fraction

We can simplify 4668201 to its lowest form.
The greatest common divisor (GCD) of 4668 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 155667.

Step 6: Convert to Mixed Number

The fraction 155667 can be written as the mixed number 231567.

Final Answer

The result of 15/67 added to 69/3 is:

1567+693=231567

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

Calculate operations between any two fractions: