42/82 multiplied by 185/4 in Fraction Form

The result of 42/82 multiplied by 185/4 is: 23 113/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{2} 82$ and $\frac{1}{8} 54$ .

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 185 = 7770

Step 3: Multiply the Denominators

Multiply the denominators: 82 × 4 = 328

Step 4: Simplify the Fraction

We can simplify $\frac{7}{7} 70328$ to its lowest form.
The greatest common divisor (GCD) of 7770 and 328 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{8} 85164$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{8} 85164$ can be written as the mixed number $23 \frac{1}{1} 3164$ .

Final Answer

The result of 42/82 multiplied by 185/4 is:

\frac{42}{82} \times \frac{185}{4} = 23 \frac{1}{1} 3164

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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