How many 2/3 are in 3/4?
Understand the Problem
The question is asking us to find how many times the fraction 2/3 can fit into the fraction 3/4. This involves dividing the two fractions to see how many units of 2/3 make up 3/4.
Answer
$ \frac{9}{8} $
Answer for screen readers
The result is $ \frac{9}{8} $.
Steps to Solve
- Set up the division of fractions
To find how many times $ \frac{2}{3} $ fits into $ \frac{3}{4} $, we start by dividing the two fractions:
$$ \frac{3}{4} \div \frac{2}{3} $$
- Multiply by the reciprocal
When dividing fractions, we multiply by the reciprocal of the fraction we are dividing by:
$$ \frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2} $$
- Perform the multiplication
Now we multiply the numerators and the denominators:
$$ = \frac{3 \times 3}{4 \times 2} = \frac{9}{8} $$
- Interpret the result
The fraction $ \frac{9}{8} $ tells us that $ \frac{2}{3} $ fits into $ \frac{3}{4} $ a total of $ 1 \frac{1}{8} $ times, which means it fits once with a remainder.
The result is $ \frac{9}{8} $.
More Information
The fraction $ \frac{9}{8} $ indicates that $ \frac{2}{3} $ can fit into $ \frac{3}{4} $ a little over once. This means that there is an additional part that fits into the remaining space after one full fit.
Tips
- Forgetting to multiply by the reciprocal when dividing fractions.
- Miscalculating the multiplication of the numerators and the denominators.