13/75 as a decimal

Understand the Problem

The question is asking to convert the fraction 13/75 into its decimal form. This involves performing the division of 13 by 75.

Answer

The decimal form of the fraction $\frac{13}{75}$ is approximately $0.1733$.
Answer for screen readers

The decimal form of the fraction $\frac{13}{75}$ is approximately $0.1733$.

Steps to Solve

  1. Set up the division We need to divide the numerator (13) by the denominator (75). This can be set up as: $$ 13 \div 75 $$

  2. Perform the division When you divide 13 by 75, you can also express it as: $$ 0.1733\ldots $$ (using long division or a calculator). This means the decimal repeats.

  3. Round the decimal For practical purposes, we can round the answer. Typically, we might round to four decimal places for clarity. In this case, we round it to: $$ 0.1733 $$

The decimal form of the fraction $\frac{13}{75}$ is approximately $0.1733$.

More Information

The decimal $\approx 0.1733$ shows that $\frac{13}{75}$ is a little less than one-fifth, and it can be useful in calculations that require decimal values for further operations.

Tips

  • Mistaking the division process: Ensure you divide correctly and understand how to handle remainders or repeating decimals.
  • Rounding errors: Make sure to round the decimal accurately to the desired number of decimal places.
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