102/192 added to 10/4 in Fraction Form

The result of 102/192 added to 10/4 is: 3 1/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102192 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 192 and 4 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102192 to 102192
Convert 104 to 480192

Step 4: Add the Numerators

Add the numerators: 102 + 480 = 582

Step 5: Simplify the Fraction

We can simplify 582192 to its lowest form.
The greatest common divisor (GCD) of 582 and 192 is 6.
Dividing both numerator and denominator by the GCD, we get 9732.

Step 6: Convert to Mixed Number

The fraction 9732 can be written as the mixed number 3132.

Final Answer

The result of 102/192 added to 10/4 is:

102192+104=3132

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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