20/21 multiplied by 81/4 in Fraction Form

The result of 20/21 multiplied by 81/4 is: 19 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2021 and 814.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 81 = 1620

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 4 = 84

Step 4: Simplify the Fraction

We can simplify 162084 to its lowest form.
The greatest common divisor (GCD) of 1620 and 84 is 12.
Dividing both numerator and denominator by the GCD, we get 1357.

Step 5: Convert to Mixed Number

The fraction 1357 can be written as the mixed number 1927.

Final Answer

The result of 20/21 multiplied by 81/4 is:

2021×814=1927

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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