19/16 multiplied by 256/3 in Fraction Form

The result of 19/16 multiplied by 256/3 is: 101 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1916 and 2563.

Step 2: Multiply the Numerators

Multiply the numerators: 19 × 256 = 4864

Step 3: Multiply the Denominators

Multiply the denominators: 16 × 3 = 48

Step 4: Simplify the Fraction

We can simplify 486448 to its lowest form.
The greatest common divisor (GCD) of 4864 and 48 is 16.
Dividing both numerator and denominator by the GCD, we get 3043.

Step 5: Convert to Mixed Number

The fraction 3043 can be written as the mixed number 10113.

Final Answer

The result of 19/16 multiplied by 256/3 is:

1916×2563=10113

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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