8/41 added to 69/3 in Fraction Form

The result of 8/41 added to 69/3 is: 23 8/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 841 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 841 to 24123
Convert 693 to 2829123

Step 4: Add the Numerators

Add the numerators: 24 + 2829 = 2853

Step 5: Simplify the Fraction

We can simplify 2853123 to its lowest form.
The greatest common divisor (GCD) of 2853 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 95141.

Step 6: Convert to Mixed Number

The fraction 95141 can be written as the mixed number 23841.

Final Answer

The result of 8/41 added to 69/3 is:

841+693=23841

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: