7/6 ÷ 8
Understand the Problem
The question is asking to solve the mathematical expression involving the division of a fraction by a whole number, specifically \frac{7}{6} ÷ 8.
Answer
The result of \( \frac{7}{6} \div 8 \) is \( \frac{7}{48} \).
Answer for screen readers
The final answer is (\frac{7}{48}).
Steps to Solve
- Convert the Whole Number to a Fraction
To divide a fraction by a whole number, convert the whole number (8) into a fraction. This gives us (\frac{8}{1}).
- Rewrite the Division as Multiplication
Use the property of division that states: (a \div b = a \times \frac{1}{b}). Thus, we rewrite the expression as:
$$ \frac{7}{6} \div 8 = \frac{7}{6} \times \frac{1}{8} $$
- Multiply the Fractions
Now, multiply the numerators and denominators:
$$ \frac{7 \times 1}{6 \times 8} = \frac{7}{48} $$
- Simplify the Result
Check if the fraction (\frac{7}{48}) can be simplified. Since (7) and (48) have no common factors, this fraction is already in its simplest form.
The final answer is (\frac{7}{48}).
More Information
Dividing fractions is an essential skill in mathematics, commonly used in various applications, including cooking measurements and financial calculations. Understanding how to manipulate fractions can simplify many real-world problems.
Tips
- Forget to Convert: A common mistake is forgetting to convert the whole number to a fraction before dividing.
- Incorrect Multiplication: Ensure that numerators and denominators are correctly multiplied; mix-ups can happen easily.
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