5/7 divided by 2
Understand the Problem
The question is asking for the result of dividing the fraction 5/7 by 2. To solve this, we will convert the whole number 2 into a fraction (2/1) and then multiply by the reciprocal of 2.
Answer
The result is $\frac{5}{14}$.
Answer for screen readers
The result of dividing $\frac{5}{7}$ by 2 is $\frac{5}{14}$.
Steps to Solve
- Convert the whole number to a fraction
To divide a fraction by a whole number, we convert the whole number into a fraction. Thus, the number 2 can be written as $\frac{2}{1}$.
- Write the reciprocal of the fraction
The next step is to find the reciprocal of the fraction $\frac{2}{1}$. The reciprocal of a fraction is obtained by flipping the numerator and the denominator, which gives us $\frac{1}{2}$.
- Multiply the original fraction by the reciprocal
Now, multiply the original fraction $\frac{5}{7}$ by the reciprocal $\frac{1}{2}$: $$ \frac{5}{7} \times \frac{1}{2} $$
- Perform the multiplication
Multiply the numerators together and the denominators together: $$ \frac{5 \times 1}{7 \times 2} = \frac{5}{14} $$
The result of dividing $\frac{5}{7}$ by 2 is $\frac{5}{14}$.
More Information
Dividing fractions is carried out through multiplication by the reciprocal, which makes it easier to handle the operation. This method is widely used in both basic and advanced math.
Tips
- Forgetting to convert the whole number into a fraction before performing the division. Always convert the number to a fraction first.
- Mixing up the operations and adding instead of multiplying when dealing with fractions.
