Ben prints a picture at home using computer software. The photo he prints has a length of 6 inches and width of 4 inches. The ratio of the size of the new picture to that of the original is 1.5 to 2. What is the length and width of the new picture?

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Answer 1 · 2018-06-14T18:33:30

$8$ $8$ by $(5 + \frac{1}{3})$ $(5 + 1/3)$

$\frac{6 by 4}{1.5} = \frac{L by W}{2}$ $frac{6 text{ by } 4}{1.5} = frac{L text{ by } W}{2}$

$\frac{6}{1.5} = \frac{L}{2}$ $frac{6}{1.5} = frac{L}{2}$ and $\frac{4}{1.5} = \frac{W}{2}$ $frac{4}{1.5} = frac{W}{2}$

$\frac{12}{\frac{3}{2}} = L$ $frac{12}{3/2} = L$ and $\frac{8}{\frac{3}{2}} = W$ $frac{8}{3/2} = W$

$\frac{12 \cdot 2}{3} = L$ $frac{12*2}{3} = L$ and $\frac{8 \cdot 2}{3} = W$ $frac{8*2}{3} = W$