17/3 multiplied by 21/3 in Fraction Form
The result of 17/3 multiplied by 21/3 is: 39 2/3
Step-by-Step Solution
Step 1: Understand the Problem
We need to multiply the fractions \(\frac173\) and \(\frac213\).
Step 2: Multiply the Numerators
Multiply the numerators: 17 × 21 = 357
Step 3: Multiply the Denominators
Multiply the denominators: 3 × 3 = 9
Step 4: Simplify the Fraction
We can simplify \(\frac3579\) to its lowest form.
The greatest common divisor (GCD) of 357 and 9 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac1193\).
Step 5: Convert to Mixed Number
The fraction \(\frac1193\) can be written as the mixed number \(39\frac23\).
Final Answer
The result of 17/3 multiplied by 21/3 is:
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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