Write each fraction as a decimal. Use bar notation.
Understand the Problem
The question is asking us to convert the given fractions into decimal form, specifically using bar notation. It is part of a practice exercise focusing on converting fractions to decimals.
Answer
$0.4\overline{6}$
Answer for screen readers
The decimal form of $\frac{7}{15}$ with bar notation is $0.4\overline{6}$.
Steps to Solve
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Convert the fraction to decimal form To convert the fraction $\frac{7}{15}$ to decimal, divide the numerator by the denominator. $$ 7 \div 15 = 0.46666... $$ This decimal continues with the digit '6' repeating.
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Express the repeating decimal with bar notation Since the digit '6' is repeating, we can use bar notation to indicate this. Thus, we can represent the decimal as: $$ 0.4\overline{6} $$
The decimal form of $\frac{7}{15}$ with bar notation is $0.4\overline{6}$.
More Information
The conversion from fractions to decimals is a critical skill in mathematics. Bar notation is commonly used to indicate repeating decimals, which can simplify the representation of such numbers.
Tips
- Forgetting to indicate repetition in decimals—always use a bar for repeating digits.
- Misplacing the decimal point during division—ensure your division is accurate to avoid errors.
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