14/16 added to 8/3 in Fraction Form

The result of 14/16 added to 8/3 is: 3 13/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1416 and 83.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 3 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1416 to 4248
Convert 83 to 12848

Step 4: Add the Numerators

Add the numerators: 42 + 128 = 170

Step 5: Simplify the Fraction

We can simplify 17048 to its lowest form.
The greatest common divisor (GCD) of 170 and 48 is 2.
Dividing both numerator and denominator by the GCD, we get 8524.

Step 6: Convert to Mixed Number

The fraction 8524 can be written as the mixed number 31324.

Final Answer

The result of 14/16 added to 8/3 is:

1416+83=31324

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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