16/23 added to 48/4 in Fraction Form

The result of 16/23 added to 48/4 is: 12 16/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1623 and 484.

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 1623 to 6492
Convert 484 to 110492

Step 4: Add the Numerators

Add the numerators: 64 + 1104 = 1168

Step 5: Simplify the Fraction

We can simplify 116892 to its lowest form.
The greatest common divisor (GCD) of 1168 and 92 is 4.
Dividing both numerator and denominator by the GCD, we get 29223.

Step 6: Convert to Mixed Number

The fraction 29223 can be written as the mixed number 121623.

Final Answer

The result of 16/23 added to 48/4 is:

1623+484=121623

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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