78/127 multiplied by 96/3 in Fraction Form

The result of 78/127 multiplied by 96/3 is: 19 83/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 78127 and 963.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 96 = 7488

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 3 = 381

Step 4: Simplify the Fraction

We can simplify 7488381 to its lowest form.
The greatest common divisor (GCD) of 7488 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 2496127.

Step 5: Convert to Mixed Number

The fraction 2496127 can be written as the mixed number 1983127.

Final Answer

The result of 78/127 multiplied by 96/3 is:

78127×963=1983127

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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