20/151 multiplied by 102/4 in Fraction Form

The result of 20/151 multiplied by 102/4 is: 3 57/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20151 and 1024.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 102 = 2040

Step 3: Multiply the Denominators

Multiply the denominators: 151 × 4 = 604

Step 4: Simplify the Fraction

We can simplify 2040604 to its lowest form.
The greatest common divisor (GCD) of 2040 and 604 is 4.
Dividing both numerator and denominator by the GCD, we get 510151.

Step 5: Convert to Mixed Number

The fraction 510151 can be written as the mixed number 357151.

Final Answer

The result of 20/151 multiplied by 102/4 is:

20151×1024=357151

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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