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Answer :
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.
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Final answer:
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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