10/15 multiplied by 102/4 in Fraction Form

The result of 10/15 multiplied by 102/4 is: 17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1015 and 1024.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 102 = 1020

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 4 = 60

Step 4: Simplify the Fraction

We can simplify 102060 to its lowest form.
The greatest common divisor (GCD) of 1020 and 60 is 60.
Dividing both numerator and denominator by the GCD, we get 171.

Final Answer

The result of 10/15 multiplied by 102/4 is:

1015×1024=17

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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