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 \(\frac12727\) and \(\frac1606\).

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 \(\frac20320162\) 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 \(\frac1016081\).

Step 5: Convert to Mixed Number

The fraction \(\frac1016081\) can be written as the mixed number \(125\frac3581\).

Final Answer

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

\[ \frac{127}{27} \times \frac{160}{6} = 125\frac3581 \]

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)

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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