47/17 multiplied by 213/3 in Fraction Form

The result of 47/17 multiplied by 213/3 is: 196 5/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{7} 17$ and $\frac{2}{1} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 47 × 213 = 10011

Step 3: Multiply the Denominators

Multiply the denominators: 17 × 3 = 51

Step 4: Simplify the Fraction

We can simplify $\frac{1}{0} 01151$ to its lowest form.
The greatest common divisor (GCD) of 10011 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{3} 3717$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{3} 3717$ can be written as the mixed number $196 \frac{5}{1} 7$ .

Final Answer

The result of 47/17 multiplied by 213/3 is:

\frac{47}{17} \times \frac{213}{3} = 196 \frac{5}{1} 7

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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