127/57 multiplied by 48/3 in Fraction Form

The result of 127/57 multiplied by 48/3 is: 35 37/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12757 and 483.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 48 = 6096

Step 3: Multiply the Denominators

Multiply the denominators: 57 × 3 = 171

Step 4: Simplify the Fraction

We can simplify 6096171 to its lowest form.
The greatest common divisor (GCD) of 6096 and 171 is 3.
Dividing both numerator and denominator by the GCD, we get 203257.

Step 5: Convert to Mixed Number

The fraction 203257 can be written as the mixed number 353757.

Final Answer

The result of 127/57 multiplied by 48/3 is:

12757×483=353757

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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