24/99 multiplied by 170/4 in Fraction Form

The result of 24/99 multiplied by 170/4 is: 10 10/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2499 and 1704.

Step 2: Multiply the Numerators

Multiply the numerators: 24 × 170 = 4080

Step 3: Multiply the Denominators

Multiply the denominators: 99 × 4 = 396

Step 4: Simplify the Fraction

We can simplify 4080396 to its lowest form.
The greatest common divisor (GCD) of 4080 and 396 is 12.
Dividing both numerator and denominator by the GCD, we get 34033.

Step 5: Convert to Mixed Number

The fraction 34033 can be written as the mixed number 101033.

Final Answer

The result of 24/99 multiplied by 170/4 is:

2499×1704=101033

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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