84/109 multiplied by 127/6 in Fraction Form

The result of 84/109 multiplied by 127/6 is: 16 34/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 84109 and 1276.

Step 2: Multiply the Numerators

Multiply the numerators: 84 × 127 = 10668

Step 3: Multiply the Denominators

Multiply the denominators: 109 × 6 = 654

Step 4: Simplify the Fraction

We can simplify 10668654 to its lowest form.
The greatest common divisor (GCD) of 10668 and 654 is 6.
Dividing both numerator and denominator by the GCD, we get 1778109.

Step 5: Convert to Mixed Number

The fraction 1778109 can be written as the mixed number 1634109.

Final Answer

The result of 84/109 multiplied by 127/6 is:

84109×1276=1634109

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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