161/102 added to 16/4 in Fraction Form

The result of 161/102 added to 16/4 is: 5 59/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 161102 and 164.

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 161102 to 322204
Convert 164 to 816204

Step 4: Add the Numerators

Add the numerators: 322 + 816 = 1138

Step 5: Simplify the Fraction

We can simplify 1138204 to its lowest form.
The greatest common divisor (GCD) of 1138 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 569102.

Step 6: Convert to Mixed Number

The fraction 569102 can be written as the mixed number 559102.

Final Answer

The result of 161/102 added to 16/4 is:

161102+164=559102

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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