Fraction-Decimal-Percent Equivalents Quiz Active 1 2 3 4 5 6 7 8 9 10 Which diagram represents a fraction equivalent to 75%?
The Correct Answer and Explanation is:
To represent a fraction equivalent to 75%, we must first understand what 75% means:
Step-by-step Breakdown:
- Percent means “per hundred.”
- So, 75% = 75 out of 100 = 75/100
- Simplifying this fraction: 75100=34\frac{75}{100} = \frac{3}{4}
- Therefore, 3/4 is the fraction equivalent to 75%.
Correct Answer:
The correct diagram should show a shape (such as a circle, square, or bar) divided into 4 equal parts, with 3 out of 4 parts shaded.
Explanation
Understanding how to convert between fractions, decimals, and percentages is essential in both academic mathematics and everyday life. In this case, we’re asked to find a fraction equivalent to 75%.
The term “percent” literally means “per hundred,” so 75% simply means 75 parts out of 100, which can be written as the fraction 75/100. However, fractions are often simplified to their lowest terms. Both 75 and 100 can be divided evenly by 25, giving us: 75÷25100÷25=34\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
So, 75% is equal to 3/4.
To visualize this, imagine a shape like a rectangle, square, or circle divided into 4 equal parts. If 3 of those 4 parts are shaded, then the shaded portion represents 3/4, or 75% of the whole. This is how you can recognize the correct diagram: it must have four equal sections, with three of them shaded.
Recognizing these equivalencies helps students develop number sense and makes it easier to compare values across different forms. For example, knowing that 0.75, 75%, and 3/4 all represent the same amount helps in budgeting, measuring, and data interpretation.
In a quiz format, if you’re shown several diagrams, look for the one where exactly 3 out of 4 equal parts are shaded. That’s the visual representation of 75%, and hence the correct answer.
