5/102 multiplied by 194/3 in Fraction Form

The result of 5/102 multiplied by 194/3 is: 3 26/153

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 5102 and 1943.

Step 2: Multiply the Numerators

Multiply the numerators: 5 × 194 = 970

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 3 = 306

Step 4: Simplify the Fraction

We can simplify 970306 to its lowest form.
The greatest common divisor (GCD) of 970 and 306 is 2.
Dividing both numerator and denominator by the GCD, we get 485153.

Step 5: Convert to Mixed Number

The fraction 485153 can be written as the mixed number 326153.

Final Answer

The result of 5/102 multiplied by 194/3 is:

5102×1943=326153

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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