9/10 divided by 3/5
Understand the Problem
The question is asking us to perform a division of two fractions: 9/10 divided by 3/5. To solve this, we need to multiply the first fraction (9/10) by the reciprocal of the second fraction (5/3).
Answer
$ \frac{3}{2} $
Answer for screen readers
The final answer is $ \frac{3}{2} $.
Steps to Solve
-
Identify the fractions
We have two fractions: the first fraction is $ \frac{9}{10} $ and the second fraction is $ \frac{3}{5} $. -
Find the reciprocal of the second fraction
The reciprocal of $ \frac{3}{5} $ is $ \frac{5}{3} $. This means we will multiply the first fraction by this reciprocal. -
Multiply the fractions
Now we multiply $ \frac{9}{10} $ by $ \frac{5}{3} $: $$ \frac{9}{10} \times \frac{5}{3} = \frac{9 \times 5}{10 \times 3} $$ -
Calculate the numerator and denominator
First, calculate the numerator: $ 9 \times 5 = 45 $,
Then calculate the denominator: $ 10 \times 3 = 30 $,
So, we have: $$ \frac{45}{30} $$ -
Simplify the fraction
Now we simplify $ \frac{45}{30} $. Both the numerator and denominator can be divided by their greatest common divisor, which is 15: $$ \frac{45 \div 15}{30 \div 15} = \frac{3}{2} $$
The final answer is $ \frac{3}{2} $.
More Information
The result $ \frac{3}{2} $ can also be represented as 1.5 or 1 and 1/2, indicating that it's an improper fraction and can be converted to a mixed number.
Tips
- Forgetting to take the reciprocal of the second fraction is a common mistake. Always remember to flip the second fraction when dividing by it.
- Not simplifying the final fraction is another mistake. Always check if you can reduce the result to its simplest form.
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