Divide and simplify completely. Show your work.

Rewrite the problem as a multiplication problem, then solve. Provide the answer.

\[ \frac{3}{4} \div \frac{5}{6} \]

1. Rewrite as multiplication:
\[ \frac{3}{4} \times \frac{6}{5} \]

2. Solve:
\[ \frac{3 \times 6}{4 \times 5} = \frac{18}{20} = \frac{9}{10} \]

Answer: $\frac{9}{10}$

To divide fractions, rewrite the problem as a multiplication one by taking the reciprocal of the second fraction. After performing the multiplication, simplify the resulting fraction to its simplest form.

Explanation:

The given problem is

3/4 divided by 5/6

. This can be rewritten as a multiplication problem by taking the reciprocal of the second fraction. So, instead of dividing by 5/6, we multiply by 6/5. This gives us

3/4 * 6/5

. Multiply the numerators together to get 18 and the denominators to get 20. So we have 18/20. Simplify this fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor which is 2. This gives us the final answer

9/10

.

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lhisarkaygee lhisarkaygee · Answer 2 · 2024-02-22T01:36:14-05:00

Answer:

The answer is 9/10.

Step-by-step explanation:

Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.

Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.

Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.

Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.

Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.