23/13 multiplied by 256/2 in Fraction Form

The result of 23/13 multiplied by 256/2 is: 226 6/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2313 and 2562.

Step 2: Multiply the Numerators

Multiply the numerators: 23 × 256 = 5888

Step 3: Multiply the Denominators

Multiply the denominators: 13 × 2 = 26

Step 4: Simplify the Fraction

We can simplify 588826 to its lowest form.
The greatest common divisor (GCD) of 5888 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 294413.

Step 5: Convert to Mixed Number

The fraction 294413 can be written as the mixed number 226613.

Final Answer

The result of 23/13 multiplied by 256/2 is:

2313×2562=226613

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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