22/64 added to 16/3 in Fraction Form

The result of 22/64 added to 16/3 is: 5 65/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2264 and 163.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 3 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2264 to 66192
Convert 163 to 1024192

Step 4: Add the Numerators

Add the numerators: 66 + 1024 = 1090

Step 5: Simplify the Fraction

We can simplify 1090192 to its lowest form.
The greatest common divisor (GCD) of 1090 and 192 is 2.
Dividing both numerator and denominator by the GCD, we get 54596.

Step 6: Convert to Mixed Number

The fraction 54596 can be written as the mixed number 56596.

Final Answer

The result of 22/64 added to 16/3 is:

2264+163=56596

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).

Fraction Calculator

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