40/102 multiplied by 185/2 in Fraction Form

The result of 40/102 multiplied by 185/2 is: 36 14/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{0} 102$ and $\frac{1}{8} 52$ .

Step 2: Multiply the Numerators

Multiply the numerators: 40 × 185 = 7400

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 2 = 204

Step 4: Simplify the Fraction

We can simplify $\frac{7}{4} 00204$ to its lowest form.
The greatest common divisor (GCD) of 7400 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{8} 5051$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{8} 5051$ can be written as the mixed number $36 \frac{1}{4} 51$ .

Final Answer

The result of 40/102 multiplied by 185/2 is:

\frac{40}{102} \times \frac{185}{2} = 36 \frac{1}{4} 51

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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