201/71 multiplied by 21/3 in Fraction Form

The result of 201/71 multiplied by 21/3 is: 19 58/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20171 and 213.

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 21 = 4221

Step 3: Multiply the Denominators

Multiply the denominators: 71 × 3 = 213

Step 4: Simplify the Fraction

We can simplify 4221213 to its lowest form.
The greatest common divisor (GCD) of 4221 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 140771.

Step 5: Convert to Mixed Number

The fraction 140771 can be written as the mixed number 195871.

Final Answer

The result of 201/71 multiplied by 21/3 is:

20171×213=195871

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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