127/155 multiplied by 133/6 in Fraction Form

The result of 127/155 multiplied by 133/6 is: 18 151/930

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac127155\) and \(\frac1336\).

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 133 = 16891

Step 3: Multiply the Denominators

Multiply the denominators: 155 × 6 = 930

Step 4: Convert to Mixed Number

The fraction \(\frac16891930\) can be written as the mixed number \(18\frac151930\).

Final Answer

The result of 127/155 multiplied by 133/6 is:

\[ \frac{127}{155} \times \frac{133}{6} = 18\frac151930 \]

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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