12/194 multiplied by 101/3 in Fraction Form

The result of 12/194 multiplied by 101/3 is: 2 8/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12194 and 1013.

Step 2: Multiply the Numerators

Multiply the numerators: 12 × 101 = 1212

Step 3: Multiply the Denominators

Multiply the denominators: 194 × 3 = 582

Step 4: Simplify the Fraction

We can simplify 1212582 to its lowest form.
The greatest common divisor (GCD) of 1212 and 582 is 6.
Dividing both numerator and denominator by the GCD, we get 20297.

Step 5: Convert to Mixed Number

The fraction 20297 can be written as the mixed number 2897.

Final Answer

The result of 12/194 multiplied by 101/3 is:

12194×1013=2897

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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