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Every Saturday, Greg walks 2 1/4 miles to the park to play basketball with friends. He walks 2/3 of the distance when he o school. How far does Greg walk to school?

User Mes
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2 Answers

6 votes
2 1/4 divided by 3 times 2....I got 1 1/2..


Beginner I think I’m right though :)
User Kumar D
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3 votes

Given:

The distance traveled by Greg to School is 2/3 of distance he walks to the park to play basketball with friends.


The \; distance\; Greg\; walks \; to\; the \; park\; =\; 2 (1)/(4) \; miles

Solution:


\\ (2)/(3) \; of\; 2(1)/(4)=(2)/(3) * 2(1)/(4)\\ \\ Convert\; mixed \; fraction\; improper \; fraction\\ a(b)/(c)=(c * a+b)/(c) \\ \\ (2)/(3) * 2(1)/(4) =(2)/(3) * (9)/(4)\\ Multiply\; numerator\; with\; numerator\; and\; denominator\; with\; denominator\\ \\


(2 * 9)/(3 * 4)=(18)/(12) \\ \\ Divide \; numerator\; and\; denominator\; by\; common\; factor\\ \\ (18 / 6)/(12 / 6) =(3)/(2)

Conclusion:

The distance traveled by Greg tp walk to school is 1.5 miles



User Igorzg
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