76/233 multiplied by 20/4 in Fraction Form

The result of 76/233 multiplied by 20/4 is: 1 147/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 76233 and 204.

Step 2: Multiply the Numerators

Multiply the numerators: 76 × 20 = 1520

Step 3: Multiply the Denominators

Multiply the denominators: 233 × 4 = 932

Step 4: Simplify the Fraction

We can simplify 1520932 to its lowest form.
The greatest common divisor (GCD) of 1520 and 932 is 4.
Dividing both numerator and denominator by the GCD, we get 380233.

Step 5: Convert to Mixed Number

The fraction 380233 can be written as the mixed number 1147233.

Final Answer

The result of 76/233 multiplied by 20/4 is:

76233×204=1147233

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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