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irinina [24]
3 years ago
10

Darius bakes 18 muffins for his friends. he gives each of his friends an equal number of muffins and has none left over

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0
Factors of 18

If he has 1 friend, he gives 18 cookies
2 friends, 9 each
3 friends, 6 each
6 friends, 3 each
9 friends, 2 each
18 friends, 1 each

these are the common factors of 18. I don't know whether fractions are applicable here but I hope this helps.
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Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

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2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

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