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
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Convert the fraction to decimal To convert the fraction $\frac{3}{7}$ into decimal form, we can perform division: $$ 3 \div 7 \approx 0.428571 $$
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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: $$ 5 + 0.428571 = 5.428571 $$
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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.
