20/19 multiplied by 81/4 in Fraction Form

The result of 20/19 multiplied by 81/4 is: 21 6/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2019 and 814.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 81 = 1620

Step 3: Multiply the Denominators

Multiply the denominators: 19 × 4 = 76

Step 4: Simplify the Fraction

We can simplify 162076 to its lowest form.
The greatest common divisor (GCD) of 1620 and 76 is 4.
Dividing both numerator and denominator by the GCD, we get 40519.

Step 5: Convert to Mixed Number

The fraction 40519 can be written as the mixed number 21619.

Final Answer

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

2019×814=21619

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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