30 divided by 3/5
Understand the Problem
The question is asking how to divide 30 by the fraction 3/5. To solve it, we can rewrite the division of a number by a fraction as multiplication by its reciprocal. Thus, we will calculate 30 multiplied by 5/3.
Answer
50
Answer for screen readers
The final answer is 50.
Steps to Solve
- Identify the reciprocal of the fraction
In this step, we need to find the reciprocal of the fraction $ \frac{3}{5} $.
The reciprocal is obtained by flipping the numerator and denominator: $$ \text{Reciprocal of } \frac{3}{5} = \frac{5}{3} $$
- Rewrite the division as multiplication
We rewrite the division of 30 by the fraction $ \frac{3}{5} $ as multiplication by its reciprocal: $$ 30 \div \frac{3}{5} = 30 \times \frac{5}{3} $$
- Multiply the numbers
Now, we will perform the multiplication: $$ 30 \times \frac{5}{3} $$
To do this, we can simplify before multiplying. The number 30 can be written as $ \frac{30}{1} $. Thus: $$ \frac{30}{1} \times \frac{5}{3} = \frac{30 \times 5}{1 \times 3} = \frac{150}{3} $$
- Simplify the result
Now, we simplify $ \frac{150}{3} $: $$ \frac{150}{3} = 50 $$
The final answer is 50.
More Information
Dividing by a fraction can often be confusing, but remembering to multiply by its reciprocal makes the process much simpler! In this case, dividing 30 by $ \frac{3}{5} $ resulted in 50, illustrating how fractions can change the outcome of division.
Tips
- Not finding the reciprocal correctly: It's crucial to flip the fraction correctly.
- Forgetting to simplify during multiplication: Always check if any cancels out before multiplying.
- Errors in multiplication: Be careful with calculating the product to avoid mistakes in the final answer.
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