Given:
The distance traveled by Greg to School is 2/3 of distance he walks to the park to play basketball with friends.
[tex] The \; distance\; Greg\; walks \; to\; the \; park\; =\; 2 \frac{1}{4} \; miles [/tex]
Solution:
[tex] \\ \frac{2}{3} \; of\; 2\frac{1}{4}=\frac{2}{3} \times 2\frac{1}{4}\\ \\ Convert\; mixed \; fraction\; improper \; fraction\\ a\frac{b}{c}=\frac{c \times a+b}{c} \\ \\ \frac{2}{3} \times 2\frac{1}{4} =\frac{2}{3} \times \frac{9}{4}\\ Multiply\; numerator\; with\; numerator\; and\; denominator\; with\; denominator\\ \\ [/tex]
[tex] \frac{2 \times 9}{3 \times 4}=\frac{18}{12} \\ \\ Divide \; numerator\; and\; denominator\; by\; common\; factor\\ \\ \frac{18 \div 6}{12 \div 6} =\frac{3}{2} [/tex]
Conclusion:
The distance traveled by Greg tp walk to school is 1.5 miles
