Section 5.6 Part 1: Writing Ratios and Using Ratios in Applications

Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3.5liters of the liquid solution, and Christopher uses 2,580milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? Enter your answer as a simplified fraction without units.

129/175 In a ratio, the measurements must be in the same units. We can change liters to milliliters or milliliters to liters. It is usually easier to convert to the smaller unit, since this avoids introducing more fractions into the problem. ratio of Christopher's measurements to Andy's measurements Write the ratio as a fraction. Christopher's measurements/Andy's measurements Substitute in the given values. 2,580milliliters/3.5liters Convert 3.5liters to milliliters. 2,580milliliters/3,500milliliters Simplify, dividing out common factors and units. 129/175 So the ratio of Christopher's measurements to Andy's measurements is 129 to 175.

Write the ratio 48 to 24 as a simplified fraction.

2/1

Write the ratio 1 and 1/3 to 3 and 1/9 as a simplified fraction.

3/7

Cesar made an art sculpture composed of 1,240 craft sticks and 240 pieces of balsa wood. What is the ratio of craft sticks to balsa wood? Enter your answer as a simplified fraction without units.

31/6 Write as a fraction. number of craft sticks/number of balsa wood pieces

Morgan and Melissa are doing an experiment measuring distance between trees out in the field. Morgan measured the distance from one tree to another at 10feet, and Melissa measured the distance from a different tree to another at 690inches. What is the ratio of the distance Morgan measured to the distance of what Melissa measured? Enter your answer as a simplified fraction without units.

4/23 In a ratio, the measurements must be in the same units. We can change feet to inches or inches to feet. It is usually easier to convert to the smaller unit, since this avoids introducing more fractions into the problem. ratio of Morgan's measured distance to Melissa's measured distance Write the ratio as a fraction. Morgan's measurement/Melissa's measurement Substitute in the given values. 10feet/690inches Convert10feetto inches. 120inches/690inches Simplify, dividing out common factors and units. 4/23 So the ratio of Morgan's measured distance to Melissa's measured distance is4to23.

Write the ratio 0.4 to 1.28 as a simplified fraction.

5/16

Write the ratio 12.6 to 9 as a fraction.

7/5

Write the ratio 6 and 2/3 to 3 and 1/7 as a fraction. Note: Be sure to simplify your fraction.

70/33

Adam and Steven are doing an experiment measuring distance between cacti in a field. Adam measures the distance from one cactus to another at 18feet and Steven measures the distance from a different cactus to another at 120inches. What is the ratio of the distance measured by Adam to the distance measured by Steven? Enter your answer in the form of a simplified fraction.

9/5 In a ratio, the measurements must be in the same units. We can change feet to inches or inches to feet. It is usually easier to convert to the smaller unit, since this avoids introducing more fractions into the problem. ratio of Adam's measured distance to Steven's measured distance Write the ratio as a fraction. Adam's measurement/Steven's measurement Substitute in the given values. 18feet/120inches Convert18feetto inches. 216inches/120inches Simplify, dividing out common factors and units. 95 So the ratio of Adam's measured distance to Steven's measured distance is9to5.