2 divided by 2/7
Understand the Problem
The question is asking us to perform a division operation involving a fraction. Specifically, we need to divide 2 by the fraction 2/7, which can be interpreted as multiplying 2 by the reciprocal of 2/7.
Answer
7
Answer for screen readers
The final answer is 7
Steps to Solve
- Convert the division into multiplication by the reciprocal
When dividing by a fraction, convert it to multiplication by the reciprocal of the fraction. The reciprocal of ( \frac{2}{7} ) is ( \frac{7}{2} ).
So we have:
[ 2 \div \frac{2}{7} = 2 \times \frac{7}{2} ]
- Perform the multiplication
Multiply the whole number by the fraction:
[ 2 \times \frac{7}{2} ]
When multiplying a whole number by a fraction, multiply the numerator by the whole number and keep the denominator the same:
[ \frac{2 \times 7}{2} ]
- Simplify the fraction (if needed)
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor:
[ \frac{14}{2} = 7 ]
So the final answer is 7.
The final answer is 7
More Information
When dividing by a fraction, multiply by its reciprocal. This method can be useful for solving similar problems involving fractions.
Tips
A common mistake is to multiply the denominator by the whole number instead of multiplying the whole fraction by the whole number. Always remember to flip the fraction and then multiply.
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