195/102 added to 9/4 in Fraction Form

The result of 195/102 added to 9/4 is: 4 11/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 195102 and 94.

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 195102 to 390204
Convert 94 to 459204

Step 4: Add the Numerators

Add the numerators: 390 + 459 = 849

Step 5: Simplify the Fraction

We can simplify 849204 to its lowest form.
The greatest common divisor (GCD) of 849 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 28368.

Step 6: Convert to Mixed Number

The fraction 28368 can be written as the mixed number 41168.

Final Answer

The result of 195/102 added to 9/4 is:

195102+94=41168

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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