2/3 times 4 as a fraction
Understand the Problem
The question is asking to perform a multiplication of two fractions: 2/3 times 4. We will express the whole number 4 as a fraction (4/1) and then multiply the two fractions together.
Answer
$\frac{8}{3}$
Answer for screen readers
The final answer is $\frac{8}{3}$.
Steps to Solve
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Convert the whole number to a fraction To multiply a fraction by a whole number, we can express the whole number as a fraction. So, we will rewrite 4 as $\frac{4}{1}$.
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Set up the multiplication of fractions Now we can set up the multiplication of the two fractions: $$ \frac{2}{3} \times \frac{4}{1} $$
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Multiply the numerators and the denominators Next, we multiply the numerators together and the denominators together: $$ \text{Numerator: } 2 \times 4 = 8 $$ $$ \text{Denominator: } 3 \times 1 = 3 $$
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Write the result as a single fraction This gives us the resulting fraction: $$ \frac{8}{3} $$
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Check if the fraction can be simplified Since 8 and 3 have no common factors, $\frac{8}{3}$ is already in its simplest form.
The final answer is $\frac{8}{3}$.
More Information
The result $\frac{8}{3}$ can also be expressed as a mixed number: $2 \frac{2}{3}$. This indicates that 4 times $\frac{2}{3}$ is greater than 2 but less than 3.
Tips
- A common mistake is to forget to convert the whole number into a fraction before multiplying. Always remember to convert a whole number like 4 into $\frac{4}{1}$ for correct multiplication.
- Another mistake may involve incorrectly multiplying the numerators or denominators. Care should be taken to ensure accurate calculations.
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