7/6 divided by 3
Understand the Problem
The question is asking us to perform a division operation involving a fraction. Specifically, we need to divide the fraction 7/6 by the whole number 3. This will involve converting the division by a whole number into multiplication by its reciprocal.
Answer
The final result of dividing \( \frac{7}{6} \) by 3 is \( \frac{7}{18} \).
Answer for screen readers
The final answer is ( \frac{7}{18} ).
Steps to Solve
- Convert the whole number to a fraction
To divide the fraction $ \frac{7}{6} $ by the whole number 3, we can express 3 as a fraction. This gives us:
$$ 3 = \frac{3}{1} $$
- Find the reciprocal of the fraction
Now, we need to find the reciprocal of the fraction $\frac{3}{1}$, which is:
$$ \frac{1}{3} $$
- Multiply the fractions
Next, we multiply the original fraction $ \frac{7}{6} $ by the reciprocal $ \frac{1}{3} $:
$$ \frac{7}{6} \times \frac{1}{3} $$
To multiply, we multiply the numerators and the denominators:
$$ = \frac{7 \times 1}{6 \times 3} $$ $$ = \frac{7}{18} $$
The final answer is ( \frac{7}{18} ).
More Information
When dividing a fraction by a whole number, it helps to convert the whole number into a fraction and then multiply by its reciprocal. This can simplify the process and make the calculation clearer.
Tips
- Confusing division and subtraction: Students sometimes misinterpret the operation and perform subtraction instead. Remember, we are performing a division.
- Not converting the whole number to a fraction: Always convert whole numbers into fractions before performing the division with other fractions.
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