write 0.56 as a fraction and as a percent
The correct answer and explanation is:
Correct Answer:
- Fraction: 1425\frac{14}{25}
- Percent: 56%
Explanation:
To convert 0.56 into a fraction, first recognize that it is a decimal number with two digits after the decimal point. This means the number is over 100, so you write it as: 0.56=561000.56 = \frac{56}{100}
Now simplify this fraction by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF of 56 and 100 is 4. So: 56÷4100÷4=1425\frac{56 ÷ 4}{100 ÷ 4} = \frac{14}{25}
This gives the simplified fraction: 1425\boxed{\frac{14}{25}}
To convert 0.56 into a percent, multiply the decimal by 100: 0.56×100=560.56 × 100 = 56
Then add the percent symbol: 56%\boxed{56\%}
Decimals, fractions, and percentages are all different ways to express parts of a whole. A decimal like 0.56 means 56 parts out of 100. When written as a fraction, this is shown as 56 over 100, and when simplified, that becomes 14 over 25. As a percent, the number is multiplied by 100 to show how many parts out of 100 it represents, which is 56%. Understanding how to convert between these forms is important in math, especially in real-life situations like calculating discounts, interpreting test scores, or comparing data.
Each form offers its own advantage. Fractions are often more precise in pure math, percentages are easier for understanding proportions quickly, and decimals are more useful in calculations. Therefore, knowing how to switch between them improves number sense and mathematical communication.