201/13 multiplied by 57/3 in Fraction Form

The result of 201/13 multiplied by 57/3 is: 293 10/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20113 and 573.

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 57 = 11457

Step 3: Multiply the Denominators

Multiply the denominators: 13 × 3 = 39

Step 4: Simplify the Fraction

We can simplify 1145739 to its lowest form.
The greatest common divisor (GCD) of 11457 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 381913.

Step 5: Convert to Mixed Number

The fraction 381913 can be written as the mixed number 2931013.

Final Answer

The result of 201/13 multiplied by 57/3 is:

20113×573=2931013

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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