69/23 added to 162/4 in Fraction Form

The result of 69/23 added to 162/4 is: 43 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6923 and 1624.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 4 is 92.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6923 to 27692
Convert 1624 to 372692

Step 4: Add the Numerators

Add the numerators: 276 + 3726 = 4002

Step 5: Simplify the Fraction

We can simplify 400292 to its lowest form.
The greatest common divisor (GCD) of 4002 and 92 is 46.
Dividing both numerator and denominator by the GCD, we get 872.

Step 6: Convert to Mixed Number

The fraction 872 can be written as the mixed number 4312.

Final Answer

The result of 69/23 added to 162/4 is:

6923+1624=4312

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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