Final answer:
To convert fractions between denominators of 10 and 100, multiply or divide the numerator and denominator by 10. Then, to write as a decimal, divide the numerator by denominator. Conversely, for percents, write as a fraction with denominator 100 and divide to find the decimal, or multiply the decimal by 100 to find the percent.
Step-by-step explanation:
To convert a fraction with a denominator of 10 to an equivalent fraction with a denominator of 100, you can multiply the numerator and denominator by 10. For example, ⅔ (which is 2/10) becomes ⅔×10×10 = 20/100. To write this fraction as a decimal, simply divide the numerator by the denominator: 20 ÷ 100 = 0.20.
When converting a percent to a decimal, you can write the percent as a fraction with a denominator of 100 and then divide the numerator by the denominator. For instance, 75% is the same as 75/100, which simplifies to 0.75 as a decimal.
To convert a decimal to a percent, multiply the decimal by 100. Using our previous example, 0.20 × 100 gives us 20%, which is the percentage form of the fraction ⅔ or the decimal 0.20.