69/163 added to 40/4 in Fraction Form

The result of 69/163 added to 40/4 is: 10 69/163

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69163 and 404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 163 and 4 is 652.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69163 to 276652
Convert 404 to 6520652

Step 4: Add the Numerators

Add the numerators: 276 + 6520 = 6796

Step 5: Simplify the Fraction

We can simplify 6796652 to its lowest form.
The greatest common divisor (GCD) of 6796 and 652 is 4.
Dividing both numerator and denominator by the GCD, we get 1699163.

Step 6: Convert to Mixed Number

The fraction 1699163 can be written as the mixed number 1069163.

Final Answer

The result of 69/163 added to 40/4 is:

69163+404=1069163

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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