14/102 added to 163/3 in Fraction Form

The result of 14/102 added to 163/3 is: 54 8/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14102 and 1633.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14102 to 14102
Convert 1633 to 5542102

Step 4: Add the Numerators

Add the numerators: 14 + 5542 = 5556

Step 5: Simplify the Fraction

We can simplify 5556102 to its lowest form.
The greatest common divisor (GCD) of 5556 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 92617.

Step 6: Convert to Mixed Number

The fraction 92617 can be written as the mixed number 54817.

Final Answer

The result of 14/102 added to 163/3 is:

14102+1633=54817

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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