16/24 added to 41/2 in Fraction Form

The result of 16/24 added to 41/2 is: 21 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1624 and 412.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 2 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1624 to 1624
Convert 412 to 49224

Step 4: Add the Numerators

Add the numerators: 16 + 492 = 508

Step 5: Simplify the Fraction

We can simplify 50824 to its lowest form.
The greatest common divisor (GCD) of 508 and 24 is 4.
Dividing both numerator and denominator by the GCD, we get 1276.

Step 6: Convert to Mixed Number

The fraction 1276 can be written as the mixed number 2116.

Final Answer

The result of 16/24 added to 41/2 is:

1624+412=2116

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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