47/10 multiplied by 185/2 in Fraction Form

The result of 47/10 multiplied by 185/2 is: 434 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{7} 10$ and $\frac{1}{8} 52$ .

Step 2: Multiply the Numerators

Multiply the numerators: 47 × 185 = 8695

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 2 = 20

Step 4: Simplify the Fraction

We can simplify $\frac{8}{6} 9520$ to its lowest form.
The greatest common divisor (GCD) of 8695 and 20 is 5.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 394$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{7} 394$ can be written as the mixed number $434 \frac{3}{4}$ .

Final Answer

The result of 47/10 multiplied by 185/2 is:

\frac{47}{10} \times \frac{185}{2} = 434 \frac{3}{4}

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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