The table in the dining room of Heidi's dollhouse is 6 inches long. The table in Heidi's real dining room is 10 feet long. What is the unit rate that compares the length of the table in the dining room to the length of the table in the dollhouse? Enter your answer, as a mixed number in simplest form, by filling in the boxes.
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To find the unit rate that compares the length of the table in the dining room to the length of the table in the dollhouse, we need to convert the dimensions to the same unit. Since the dollhouse table is in inches and the real dining room table is in feet, we convert the 10 feet into inches (1 foot = 12 inches): 10 feet * 12 inches/foot = 120 inches. Now, we find the ratio of the length of the real table to the length of the dollhouse table: Ratio = Length of real table / Length of dollhouse table = 120 inches / 6 inches. Simplifying this gives us: 120/6 = 20. So the unit rate comparing the lengths is 20:1, which means the real table is 20 times longer than the dollhouse table.