127/119 multiplied by 48/6 in Fraction Form

The result of 127/119 multiplied by 48/6 is: 8 64/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 127119 and 486.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 48 = 6096

Step 3: Multiply the Denominators

Multiply the denominators: 119 × 6 = 714

Step 4: Simplify the Fraction

We can simplify 6096714 to its lowest form.
The greatest common divisor (GCD) of 6096 and 714 is 6.
Dividing both numerator and denominator by the GCD, we get 1016119.

Step 5: Convert to Mixed Number

The fraction 1016119 can be written as the mixed number 864119.

Final Answer

The result of 127/119 multiplied by 48/6 is:

127119×486=864119

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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