41/12 multiplied by 102/4 in Fraction Form

The result of 41/12 multiplied by 102/4 is: 87 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{1} 12$ and $\frac{1}{0} 24$ .

Step 2: Multiply the Numerators

Multiply the numerators: 41 × 102 = 4182

Step 3: Multiply the Denominators

Multiply the denominators: 12 × 4 = 48

Step 4: Simplify the Fraction

We can simplify $\frac{4}{1} 8248$ to its lowest form.
The greatest common divisor (GCD) of 4182 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{9} 78$ .

Step 5: Convert to Mixed Number

The fraction $\frac{6}{9} 78$ can be written as the mixed number $87 \frac{1}{8}$ .

Final Answer

The result of 41/12 multiplied by 102/4 is:

\frac{41}{12} \times \frac{102}{4} = 87 \frac{1}{8}

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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