Is 1/4 equal to 3 times 3/4?
Understand the Problem
The question is asking whether multiplying 1/4 by 3 equals 3/4, which requires verifying the multiplication of fractions.
Answer
Yes, $ \frac{1}{4} \times 3 = \frac{3}{4} $.
Answer for screen readers
Yes, multiplying $ \frac{1}{4} $ by 3 equals $ \frac{3}{4} $.
Steps to Solve
- Write the multiplication of fractions
To multiply fractions, we use the formula:
$$ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} $$
In this case, we have:
$$ \frac{1}{4} \times 3 $$
- Convert whole number to fraction
To apply the multiplication of fractions, we need to write the whole number 3 as a fraction. We can represent 3 as:
$$ \frac{3}{1} $$
Now our multiplication looks like this:
$$ \frac{1}{4} \times \frac{3}{1} $$
- Multiply the numerators and denominators
Now, we will multiply the numerators together and the denominators together:
$$ \frac{1 \times 3}{4 \times 1} = \frac{3}{4} $$
- Compare the result with the given fraction
We obtained $ \frac{3}{4} $ from our multiplication, and the question asks if this equals $ \frac{3}{4} $. Since both sides are equal, we conclude that the statement is true.
Yes, multiplying $ \frac{1}{4} $ by 3 equals $ \frac{3}{4} $.
More Information
Multiplying fractions involves combining the numerators and denominators. This operation shows how fractions can represent a portion of a whole, facilitating comparisons of different quantities.
Tips
- A common mistake is misinterpreting the multiplication of a fraction by a whole number. Ensure to convert the whole number into a fraction before multiplying.
- Another mistake is forgetting to multiply both the numerator and the denominator correctly.
