Math Problem Statement

29/30 as a decimal and percentage

Solution

To convert 2930\frac{29}{30} to a decimal and percentage:

Decimal:

  1. Divide the numerator by the denominator:

2930=0.9666(repeating 6)\frac{29}{30} = 0.9666\ldots \quad (\text{repeating } 6)

So, 2930\frac{29}{30} as a decimal is approximately 0.96670.9667 (rounded to four decimal places) or exactly 0.960.\overline{96}.

Percentage:

To convert 2930\frac{29}{30} to a percentage, multiply the decimal by 100:

0.9666×100=96.66%(repeating 6)0.9666\ldots \times 100 = 96.66\%\quad (\text{repeating } 6)

So, 2930\frac{29}{30} as a percentage is approximately 96.67%96.67\% (rounded to two decimal places) or exactly 96.6%96.\overline{6}\%.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How do you express a repeating decimal as a fraction?
  2. What are the steps to convert a fraction into a percentage directly?
  3. How can you round repeating decimals to a certain number of decimal places?
  4. What are some common fractions and their decimal and percentage equivalents?
  5. How do you deal with repeating decimals in practical applications?

Tip: When converting fractions to decimals, be mindful of repeating decimals, as they often appear in non-terminating decimal representations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Percentages
Repeating Decimals

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8