Exercise 6 Page 63

We are told that Jade enlarged a photograph to a poster. The size of the poster is 60 inches by 100 inches. We want to determine if the ratio of the poster's length and width is equivalent to the ratio of the photograph's length and width. Let's consider its dimensions on a graph.

The photograph is 5 inches long and 3 inches wide. We need to write the ratios comparing the length to width for both the poster and the photograph. To do so, we need to divide the value for length by the value for width. Let's do it! Photograph:& 5in./3in. [0.8em] Poster:& 100in./60in. To determine if the ratios are equivalent, we will use the concept of equivalent fractions. First, we need to determine if there are any factors we can multiply the numerator and denominator of the ratio for photograph by to get the ratio for the poster. Numerator:& 5 * 20 = 100 Denominator:& 3 * 20 = 60 The numerator and denominator need to be multiplied by the same number in order for the ratios to be equivalent. We can multiply the numerator and the denominator of the ratio for the photograph to get the ratio for the poster.

Since the fractions are equivalent, the ratios for the poster and the photograph are also equivalent.