81/39 multiplied by 102/6 in Fraction Form

The result of 81/39 multiplied by 102/6 is: 35 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{8}{1} 39$ and $\frac{1}{0} 26$ .

Step 2: Multiply the Numerators

Multiply the numerators: 81 × 102 = 8262

Step 3: Multiply the Denominators

Multiply the denominators: 39 × 6 = 234

Step 4: Simplify the Fraction

We can simplify $\frac{8}{2} 62234$ to its lowest form.
The greatest common divisor (GCD) of 8262 and 234 is 18.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{5} 913$ .

Step 5: Convert to Mixed Number

The fraction $\frac{4}{5} 913$ can be written as the mixed number $35 \frac{4}{1} 3$ .

Final Answer

The result of 81/39 multiplied by 102/6 is:

\frac{81}{39} \times \frac{102}{6} = 35 \frac{4}{1} 3

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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