5 3/7 as a decimal

Understand the Problem

The question is asking to convert the mixed number 5 3/7 into its decimal form. To solve this, we will first convert the fraction 3/7 into a decimal and then add it to 5.

Answer

The decimal form of \(5 \frac{3}{7}\) is approximately \(5.428571\) or \(5.429\).
Answer for screen readers

The decimal form of the mixed number (5 \frac{3}{7}) is approximately (5.428571) or (5.429) when rounded to three decimal places.

Steps to Solve

  1. Convert the fraction to decimal To convert the fraction $\frac{3}{7}$ into decimal form, we can perform division: $$ 3 \div 7 \approx 0.428571 $$

  2. Add the decimal to the whole number Now, we take the whole number 5 and add it to the decimal we obtained from the previous step: $$ 5 + 0.428571 = 5.428571 $$

  3. Round if necessary If you need the decimal in a simpler form, you may round it to the desired number of decimal places. For example, rounding to three decimal places gives: $$ 5.429 $$

The decimal form of the mixed number (5 \frac{3}{7}) is approximately (5.428571) or (5.429) when rounded to three decimal places.

More Information

Converting mixed numbers into decimal form is a useful skill in many practical applications, such as measurement and budgeting. The decimal approximation of fractions allows for easier calculations and comparisons.

Tips

  • Failing to perform the division correctly: Make sure to calculate $3 \div 7$ accurately.
  • Forgetting to add the whole number to the decimal: Ensure all parts of the mixed number are included in your final result.

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