20/146 multiplied by 83/4 in Fraction Form

The result of 20/146 multiplied by 83/4 is: 2 123/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20146 and 834.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 83 = 1660

Step 3: Multiply the Denominators

Multiply the denominators: 146 × 4 = 584

Step 4: Simplify the Fraction

We can simplify 1660584 to its lowest form.
The greatest common divisor (GCD) of 1660 and 584 is 4.
Dividing both numerator and denominator by the GCD, we get 415146.

Step 5: Convert to Mixed Number

The fraction 415146 can be written as the mixed number 2123146.

Final Answer

The result of 20/146 multiplied by 83/4 is:

20146×834=2123146

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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