20/233 multiplied by 42/3 in Fraction Form

The result of 20/233 multiplied by 42/3 is: 1 47/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20233 and 423.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 42 = 840

Step 3: Multiply the Denominators

Multiply the denominators: 233 × 3 = 699

Step 4: Simplify the Fraction

We can simplify 840699 to its lowest form.
The greatest common divisor (GCD) of 840 and 699 is 3.
Dividing both numerator and denominator by the GCD, we get 280233.

Step 5: Convert to Mixed Number

The fraction 280233 can be written as the mixed number 147233.

Final Answer

The result of 20/233 multiplied by 42/3 is:

20233×423=147233

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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