202/72 multiplied by 21/3 in Fraction Form

The result of 202/72 multiplied by 21/3 is: 19 23/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20272 and 213.

Step 2: Multiply the Numerators

Multiply the numerators: 202 × 21 = 4242

Step 3: Multiply the Denominators

Multiply the denominators: 72 × 3 = 216

Step 4: Simplify the Fraction

We can simplify 4242216 to its lowest form.
The greatest common divisor (GCD) of 4242 and 216 is 6.
Dividing both numerator and denominator by the GCD, we get 70736.

Step 5: Convert to Mixed Number

The fraction 70736 can be written as the mixed number 192336.

Final Answer

The result of 202/72 multiplied by 21/3 is:

20272×213=192336

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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