How many eighths equal one-fourth? Enter your answer as a whole number.
The correct answer and explanation is:
To determine how many eighths equal one-fourth, let’s first look at the fractions involved:
- Understanding the fractions:
- One-fourth (1/4) represents a part of a whole divided into four equal parts.
- One-eighth (1/8) represents a part of a whole divided into eight equal parts.
- Converting one-fourth into eighths:
To find how many eighths are equal to one-fourth, we need to express one-fourth as a fraction with a denominator of 8. We can do this by multiplying both the numerator and denominator of one-fourth by 2: 14×22=28\frac{1}{4} \times \frac{2}{2} = \frac{2}{8} So, one-fourth is equivalent to two-eighths (2/8). - Conclusion:
This means that 2 eighths (2/8) are equal to one-fourth (1/4). Therefore, the correct answer is 2.
Explanation:
When working with fractions, it’s essential to understand how to convert between different denominators. In this case, we used multiplication to make the denominator of the fraction one-fourth match the denominator of the fraction one-eighth. Once we converted the fraction, it became clear that two-eighths are equivalent to one-fourth. This process is known as finding equivalent fractions.
Another way to think about this visually is using fraction tiles. If you have a fraction tile representing one-fourth and another representing one-eighth, you will notice that two one-eighth tiles can fit into the one-fourth tile. This reinforces that two-eighths equal one-fourth.