42/81 multiplied by 185/3 in Fraction Form

The result of 42/81 multiplied by 185/3 is: 31 79/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{2} 81$ and $\frac{1}{8} 53$ .

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 185 = 7770

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 3 = 243

Step 4: Simplify the Fraction

We can simplify $\frac{7}{7} 70243$ to its lowest form.
The greatest common divisor (GCD) of 7770 and 243 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{5} 9081$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{5} 9081$ can be written as the mixed number $31 \frac{7}{9} 81$ .

Final Answer

The result of 42/81 multiplied by 185/3 is:

\frac{42}{81} \times \frac{185}{3} = 31 \frac{7}{9} 81

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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