Multiply 4/5 × 30.
Understand the Problem
The question is asking us to multiply the fraction 4/5 by 30. The approach involves performing the multiplication of these two numbers.
Answer
The result of multiplying \( \frac{4}{5} \times 30 \) is \( 24 \).
Answer for screen readers
The final answer is ( 24 ).
Steps to Solve
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Write the fractional multiplication To multiply the fraction by a whole number, we can express the whole number as a fraction. Thus, we rewrite 30 as $\frac{30}{1}$. The multiplication now looks like this: $$ \frac{4}{5} \times \frac{30}{1} $$
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Multiply the numerators Next, we will multiply the numerators (the top numbers) of the fractions: $$ 4 \times 30 = 120 $$
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Multiply the denominators Now, we will multiply the denominators (the bottom numbers): $$ 5 \times 1 = 5 $$
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Combine the results The result of the multiplication of the fractions will be: $$ \frac{120}{5} $$
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Simplify the fraction Finally, we simplify the fraction: $$ \frac{120}{5} = 24 $$
The final answer is ( 24 ).
More Information
When multiplying a fraction by a whole number, converting the whole number into a fraction can simplify the process. The method involves multiplying the numerators together and the denominators together, followed by simplification.
Tips
- Forgetting to convert the whole number into a fraction before multiplying.
- Not simplifying the final fraction.
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