79/102 added to 164/4 in Fraction Form

The result of 79/102 added to 164/4 is: 41 79/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 79102 and 1644.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 79102 to 158204
Convert 1644 to 8364204

Step 4: Add the Numerators

Add the numerators: 158 + 8364 = 8522

Step 5: Simplify the Fraction

We can simplify 8522204 to its lowest form.
The greatest common divisor (GCD) of 8522 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 4261102.

Step 6: Convert to Mixed Number

The fraction 4261102 can be written as the mixed number 4179102.

Final Answer

The result of 79/102 added to 164/4 is:

79102+1644=4179102

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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