Write 0.625 as a fraction in lowest terms and as a percentage
The correct answer and explanation is:
Correct Answer:
- Fraction in lowest terms: 58\frac{5}{8}
- Percentage: 62.5%
✅ 300-Word Explanation:
To express 0.625 as a fraction, we first recognize that it is a decimal number with three digits after the decimal point. That means it can be written as: 0.625=62510000.625 = \frac{625}{1000}
Next, we simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 625 and 1000 is 125. 625÷1251000÷125=58\frac{625 \div 125}{1000 \div 125} = \frac{5}{8}
So, 0.625 as a fraction in lowest terms is 58\frac{5}{8}.
To convert a decimal to a percentage, we multiply it by 100: 0.625×100=62.5%0.625 \times 100 = 62.5\%
So, 0.625 as a percentage is 62.5%.
🔍 Why This Works
Decimals, fractions, and percentages are just different ways to express the same value.
- A fraction shows the part of a whole (like slices of a pizza).
- A decimal is a fraction with a denominator that is a power of 10 (like tenths, hundredths, etc.).
- A percentage tells how many parts out of 100.
Converting between these helps us better understand proportions and relationships in real life. For example, if you score 62.5% on a test, it means you got 5 out of 8 questions right—just like the fraction 58\frac{5}{8}.
Understanding how to switch between decimals, fractions, and percentages is a valuable math skill in school and in practical situations like shopping, budgeting, or interpreting data.
Final Answer:
- Fraction: 58\frac{5}{8}
- Percentage: 62.5%