210/17 added to 80/4 in Fraction Form

The result of 210/17 added to 80/4 is: 32 6/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21017 and 804.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21017 to 84068
Convert 804 to 136068

Step 4: Add the Numerators

Add the numerators: 840 + 1360 = 2200

Step 5: Simplify the Fraction

We can simplify 220068 to its lowest form.
The greatest common divisor (GCD) of 2200 and 68 is 4.
Dividing both numerator and denominator by the GCD, we get 55017.

Step 6: Convert to Mixed Number

The fraction 55017 can be written as the mixed number 32617.

Final Answer

The result of 210/17 added to 80/4 is:

21017+804=32617

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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