177/16 multiplied by 82/3 in Fraction Form

The result of 177/16 multiplied by 82/3 is: 302 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{7} 716$ and $\frac{8}{2} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 177 × 82 = 14514

Step 3: Multiply the Denominators

Multiply the denominators: 16 × 3 = 48

Step 4: Simplify the Fraction

We can simplify $\frac{1}{4} 51448$ to its lowest form.
The greatest common divisor (GCD) of 14514 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{4} 198$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{4} 198$ can be written as the mixed number $302 \frac{3}{8}$ .

Final Answer

The result of 177/16 multiplied by 82/3 is:

\frac{177}{16} \times \frac{82}{3} = 302 \frac{3}{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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