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Name _______________________________ Period _____ Date ________________ 8.1 Ratios Ratio – Compares two numbers using division. *We can simplify ratios by dividing each number in the ratio by the same non-zero number. (Just like simplifying fractions!) ALWAYS simplify if possible. There are 3 ways to write a ratio. = 1 : 4 = 1 to 4 (all of these ratios are said “one to four”) Compare the number of stars to the number of moons. Write the ratio in each of the possible ways. (Simplify if possible) _____________________________________________ Compare the number of suns to the number of lightning bolts. Write the ratio in each of the possible ways. (Simplify if possible) _________________________________________ Equivalent ratios – Ratios that have the same value. To find an equivalent ratio, you can multiply or divide each number in the ratio by the same non-zero number. •2 = •2 Multiply each number in the ratio by 2 to get an equivalent ratio. Equivalent ratios continued… 5 : 9 = ___ : ___ Multiply each number in the ratio by 5 to get an equivalent ratio. (5•5) : (9•5) 63 : 81 = ___ : ___ Divide each number in the ratio by 9 to get an equivalent ratio. (63÷9) : (81÷9) 24 to 28 = ___ to ___ Divide each number in the ratio by 4 to get an equivalent ratio. (___ ÷4) to (___÷4) Write two ratios that are equivalent to 4 : 3 _____________________________________________________ Write 5 : 2 in words. _____________________________________________________ Simplify 6 : 15 _____________________________________________________ Eye Color Blue # of students 12 Brown 15 Green 4 Other 3 Use the chart to answer the following questions. Be sure to simplify ratios if possible. What is the ratio of blue to green? _______________ What is the ratio of other to brown? ______________ What is the ratio of brown to blue? ______________ What is the ratio of blue to other? ______________ What is the ratio of other to blue and brown? ________________ What is the ratio of blue and green to brown and other? ______________