64/109 added to 48/3 in Fraction Form

The result of 64/109 added to 48/3 is: 16 64/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64109 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 3 is 327.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64109 to 192327
Convert 483 to 5232327

Step 4: Add the Numerators

Add the numerators: 192 + 5232 = 5424

Step 5: Simplify the Fraction

We can simplify 5424327 to its lowest form.
The greatest common divisor (GCD) of 5424 and 327 is 3.
Dividing both numerator and denominator by the GCD, we get 1808109.

Step 6: Convert to Mixed Number

The fraction 1808109 can be written as the mixed number 1664109.

Final Answer

The result of 64/109 added to 48/3 is:

64109+483=1664109

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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