69/41 added to 192/3 in Fraction Form

The result of 69/41 added to 192/3 is: 65 28/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6941 and 1923.

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 6941 to 207123
Convert 1923 to 7872123

Step 4: Add the Numerators

Add the numerators: 207 + 7872 = 8079

Step 5: Simplify the Fraction

We can simplify 8079123 to its lowest form.
The greatest common divisor (GCD) of 8079 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 269341.

Step 6: Convert to Mixed Number

The fraction 269341 can be written as the mixed number 652841.

Final Answer

The result of 69/41 added to 192/3 is:

6941+1923=652841

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).

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