1/3 multiplied by 6
Understand the Problem
The question is asking for the product of 1/3 and 6, which is a straightforward multiplication problem that can be solved using basic arithmetic.
Answer
$2$
Answer for screen readers
The final answer is $2$.
Steps to Solve
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Identify the multiplication We need to multiply the fraction $\frac{1}{3}$ by the whole number $6$.
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Convert the whole number to a fraction We can express $6$ as a fraction by writing it as $\frac{6}{1}$.
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Multiply the fractions To multiply two fractions, we multiply the numerators together and the denominators together.
- The numerator will be: $1 \times 6 = 6$
- The denominator will be: $3 \times 1 = 3$
So, we have: $$ \frac{1}{3} \times \frac{6}{1} = \frac{6}{3} $$
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Simplify the fraction Now, we can simplify $\frac{6}{3}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is $3$:
$$ \frac{6 \div 3}{3 \div 3} = \frac{2}{1} = 2 $$
The final answer is $2$.
More Information
When multiplying a fraction by a whole number, converting the whole number into a fraction can make the multiplication straightforward. Simplifying the result helps to present it in its simplest form.
Tips
- Neglecting to convert whole numbers to fractions: Always express whole numbers as fractions before performing multiplication.
- Forgetting to simplify the result: Always check if your result can be simplified, especially if both numerator and denominator are divisible by a common factor.
