What is 2/3 divided by 3?
Understand the Problem
The question is asking to perform a division operation with the fraction 2/3 divided by the whole number 3. This involves converting 3 into a fraction and then dividing.
Answer
2/9
Answer for screen readers
The final answer is 2/9
Steps to Solve
- Convert the whole number to a fraction
To divide by a whole number, first convert the whole number to a fraction. Since any number can be written as itself over 1:
$$ rac{3}{1}$$
- Flip the second fraction (reciprocal)
To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator. So, the reciprocal of ( \frac{3}{1} ) is ( \frac{1}{3} ).
- Multiply the fractions
Now you can multiply the two fractions:
$$\frac{2}{3} \times \frac{1}{3}$$
Multiply the numerators:
$$2 \times 1 = 2$$
Multiply the denominators:
$$3 \times 3 = 9$$
So, you get:
$$\frac{2}{9}$$
The final answer is 2/9
More Information
Fractions are not only used in math problems but also in real-life situations like cooking, where recipes may require half a cup or a third of a teaspoon of an ingredient.
Tips
A common mistake is forgetting to flip the second fraction (the divisor) before multiplying. Always remember, to divide by a fraction, multiply by its reciprocal.
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