What is 1/4 of 2/3 in fraction?
Understand the Problem
The question is asking for the result of multiplying the fractions 1/4 and 2/3. To solve this, we will multiply the numerators together and the denominators together.
Answer
The product of $\frac{1}{4}$ and $\frac{2}{3}$ is $\frac{1}{6}$.
Answer for screen readers
The final answer is $\frac{1}{6}$.
Steps to Solve
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Multiply the Numerators To find the product of the fractions, first multiply the numerators. For the fractions $\frac{1}{4}$ and $\frac{2}{3}$, the numerators are 1 and 2. So, $$ 1 \times 2 = 2 $$
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Multiply the Denominators Next, multiply the denominators. Here, the denominators are 4 and 3. So, $$ 4 \times 3 = 12 $$
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Combine the Results Now that we have the products of the numerators and the denominators, we can combine them into a single fraction. Thus, the result is: $$ \frac{2}{12} $$
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Simplify the Fraction Finally, we simplify the fraction $\frac{2}{12}$. Both the numerator and the denominator can be divided by their greatest common divisor, which is 2: $$ \frac{2 \div 2}{12 \div 2} = \frac{1}{6} $$
The final answer is $\frac{1}{6}$.
More Information
Multiplying fractions is straightforward: the key is to multiply the numerators together and the denominators together. Simplification is an important step to ensure the fraction is in its simplest form.
Tips
- Forgetting to simplify the resulting fraction. It is necessary to always check if the fraction can be simplified after multiplying.
- Mixing up numerators and denominators when multiplying.
