Is 1/4 equivalent to 3/12?
Understand the Problem
The question is asking whether the fraction 1/4 is equivalent to the fraction 3/12, which involves understanding the concept of equivalent fractions.
Answer
Yes, $\frac{1}{4} = \frac{3}{12}$.
Answer for screen readers
Yes, the fraction $\frac{1}{4}$ is equivalent to the fraction $\frac{3}{12}$.
Steps to Solve
- Identify the fractions to compare
We have two fractions: $\frac{1}{4}$ and $\frac{3}{12}$.
- Cross-multiply the fractions
To determine if these fractions are equivalent, we can cross-multiply. This means we will multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
The cross multiplication yields:
$$1 \times 12 \quad \text{and} \quad 3 \times 4$$
- Calculate the cross products
Now we calculate both cross products:
For the first product:
$$1 \times 12 = 12$$
For the second product:
$$3 \times 4 = 12$$
- Compare the results
Now we compare the two results we obtained:
$$12 = 12$$
Since both products are equal, this confirms that the fractions $\frac{1}{4}$ and $\frac{3}{12}$ are equivalent.
Yes, the fraction $\frac{1}{4}$ is equivalent to the fraction $\frac{3}{12}$.
More Information
Equivalent fractions are fractions that represent the same value, even though they may have different numerators and denominators. In this case, both $\frac{1}{4}$ and $\frac{3}{12}$ simplify to the same value when reduced.
Tips
One common mistake is forgetting to cross-multiply or miscalculating the products. To avoid this, ensure you carefully multiply each numerator by the opposite denominator and check your arithmetic.
