What is 3 divided by 2/5?
Understand the Problem
The question is asking for the result of dividing the number 3 by the fraction 2/5. To solve this, we can multiply 3 by the reciprocal of 2/5, which is 5/2.
Answer
$\frac{15}{2}$ or $7 \frac{1}{2}$
Answer for screen readers
The final result of dividing 3 by $\frac{2}{5}$ is $\frac{15}{2}$ or $7 \frac{1}{2}$.
Steps to Solve
-
Identify the operation
We need to divide the number 3 by the fraction $\frac{2}{5}$. -
Find the reciprocal of the fraction
The reciprocal of $\frac{2}{5}$ is $\frac{5}{2}$. -
Multiply by the reciprocal
To divide 3 by $\frac{2}{5}$, we multiply it by the reciprocal:
$$ 3 \times \frac{5}{2} $$ -
Perform the multiplication
Multiply to find the final result:
$$ 3 \times \frac{5}{2} = \frac{15}{2} $$ -
Convert to a mixed number (if necessary)
We can convert $\frac{15}{2}$ into a mixed number:
$$ \frac{15}{2} = 7 \frac{1}{2} $$
The final result of dividing 3 by $\frac{2}{5}$ is $\frac{15}{2}$ or $7 \frac{1}{2}$.
More Information
Dividing by a fraction is equivalent to multiplying by its reciprocal. This concept is essential in arithmetic and fractions.
Tips
- Confusing division by a fraction with addition or subtraction. Always remember to multiply by the reciprocal when dividing by a fraction.
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