31/4 multiplied by 170/2 in Fraction Form

The result of 31/4 multiplied by 170/2 is: 658 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{1} 4$ and $\frac{1}{7} 02$ .

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 170 = 5270

Step 3: Multiply the Denominators

Multiply the denominators: 4 × 2 = 8

Step 4: Simplify the Fraction

We can simplify $\frac{5}{2} 708$ to its lowest form.
The greatest common divisor (GCD) of 5270 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{6} 354$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{6} 354$ can be written as the mixed number $658 \frac{3}{4}$ .

Final Answer

The result of 31/4 multiplied by 170/2 is:

\frac{31}{4} \times \frac{170}{2} = 658 \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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