127/27 multiplied by 160/6 in Fraction Form

The result of 127/27 multiplied by 160/6 is: 125 35/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12727 and 1606.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 160 = 20320

Step 3: Multiply the Denominators

Multiply the denominators: 27 × 6 = 162

Step 4: Simplify the Fraction

We can simplify 20320162 to its lowest form.
The greatest common divisor (GCD) of 20320 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 1016081.

Step 5: Convert to Mixed Number

The fraction 1016081 can be written as the mixed number 1253581.

Final Answer

The result of 127/27 multiplied by 160/6 is:

12727×1606=1253581

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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