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Question 4 of 10

What is the quotient if [tex]\frac{2}{10}[/tex] of 50 is divided by [tex]\frac{6}{9}[/tex] of [tex]\frac{2}{4}[/tex]? Reduce, if possible.

Sagot :

Alright, let's solve this step-by-step.

First, we need to calculate [tex]\(\frac{2}{10}\)[/tex] of 50.

1. Calculate [tex]\(\frac{2}{10}\)[/tex] of 50:
[tex]\[ \frac{2}{10} \times 50 = 10.0 \][/tex]

Next, we need to find the value of [tex]\(\frac{6}{9}\)[/tex] of [tex]\(\frac{2}{4}\)[/tex].

2. Calculate [tex]\(\frac{2}{4}\)[/tex]:
[tex]\[ \frac{2}{4} = 0.5 \][/tex]

3. Calculate [tex]\(\frac{6}{9}\)[/tex] of 0.5:
[tex]\[ \frac{6}{9} \times 0.5 = \frac{6}{18} = \frac{1}{3} \approx 0.3333 \][/tex]

Now, we need to divide the result from the first calculation by the result from the second calculation:

4. Divide 10.0 by [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[ 10.0 \div 0.3333 \approx 30.0 \][/tex]

Therefore, the quotient is:
[tex]\[ \frac{10.0}{0.3333} = 30.0 \][/tex]

So, the answer is 30.0.