2. Express the first quantity as a ratio to the second quantity. (Remembel units must be the same.) Give the ratios in their simplest form. \( \begin{array}{ll}\text { (a) } 20 \mathrm{~min}: \text { I hour } & \text { (b) } 8 \text { hours : I day } \\ \text { (c) } 50 \mathrm{~cm}: 1 \mathrm{~m} & \text { (d) } 40 \mathrm{c}: \mathrm{R} 4 \\ \text { (e) } 250 \mathrm{mg}: 0,5 \mathrm{~kg} & \text { () } 0,41: 200 \mathrm{ml} \\ \text { (g) } 40 \mathrm{sec}: 2 \text { min } & \text { (h) } 2 \mathrm{~km}: 500 \mathrm{~m} \\ \text { (I) } \mathrm{R} 10: \mathrm{R} 2,50 & \end{array} \)

To express the first quantity as a ratio to the second quantity, we need to ensure that the units are the same for each pair. Let's go through each part step by step. ### (a) \( 20 \text{ min} : 1 \text{ hour} \) 1. Convert 1 hour to minutes: \[ 1 \text{ hour} = 60 \text{ min} \] 2. Now express the ratio: \[ 20 \text{ min} : 60 \text{ min} = \frac{20}{60} = \frac{1}{3} \] ### (b) \( 8 \text{ hours} : 1 \text{ day} \) 1. Convert 1 day to hours: \[ 1 \text{ day} = 24 \text{ hours} \] 2. Now express the ratio: \[ 8 \text{ hours} : 24 \text{ hours} = \frac{8}{24} = \frac{1}{3} \] ### (c) \( 50 \text{ cm} : 1 \text{ m} \) 1. Convert 1 meter to centimeters: \[ 1 \text{ m} = 100 \text{ cm} \] 2. Now express the ratio: \[ 50 \text{ cm} : 100 \text{ cm} = \frac{50}{100} = \frac{1}{2} \] ### (d) \( 40 \text{ c} : \text{R} 4 \) 1. Convert R 4 to cents (assuming R 1 = 100 cents): \[ \text{R} 4 = 400 \text{ c} \] 2. Now express the ratio: \[ 40 \text{ c} : 400 \text{ c} = \frac{40}{400} = \frac{1}{10} \] ### (e) \( 250 \text{ mg} : 0.5 \text{ kg} \) 1. Convert 0.5 kg to mg: \[ 0.5 \text{ kg} = 500 \text{ g} = 500,000 \text{ mg} \] 2. Now express the ratio: \[ 250 \text{ mg} : 500,000 \text{ mg} = \frac{250}{500,000} = \frac{1}{2000} \] ### (f) \( 0.41 : 200 \text{ ml} \) 1. Convert 0.41 to milliliters (assuming it is in liters): \[ 0.41 \text{ L} = 410 \text{ ml} \] 2. Now express the ratio: \[ 410 \text{ ml} : 200 \text{ ml} = \frac{410}{200} = \frac{41}{20} \] ### (g) \( 40 \text{ sec} : 2 \text{ min} \) 1. Convert 2 minutes to seconds: \[ 2 \text{ min} = 120 \text{ sec} \] 2. Now express the ratio: \[ 40 \text{ sec} : 120 \text{ sec} = \frac{40}{120} = \frac{1}{3} \] ### (h) \( 2 \text{ km} : 500 \text{ m} \) 1. Convert 2 km to meters: \[ 2 \text{ km} = 2000 \text{ m} \] 2. Now express the ratio: \[ 2000 \text{ m} : 500 \text{ m} = \frac{2000}{500} = 4 \] ### (i) \( \text{R} 10 : \text{R} 2.50 \) 1. Convert both amounts to cents (assuming R 1 = 100 cents): \[ \text{R} 10 = 1000 \text{ c}, \quad \text{R} 2.50 = 250 \text{ c} \] 2. Now express the ratio: \[ 1000 \text{ c} : 250 \text{ c} = \frac{1000}{250} = 4 \] ### Summary of Ratios - (a) \( \frac{1}{3} \) - (b) \( \frac{1}{3} \) - (c) \( \frac{1}{2} \) - (d) \( \frac{1}{10} \) - (e) \( \frac{1}{2000} \) - (f) \( \frac{41}{20} \) - (g) \( \frac{1}{3} \) - (h) \( 4 \) - (i) \( 4 \)