EXERCISE 1.6 Use your calculator to check your answers. \( \begin{array}{lll}\text { 1. Write each of these ratios in its simplest form. } & \text { c) } 7: 21: 35 \\ \text { b) } 200: 180 & \text { f) } 9 \text { min:600 }\end{array} \)

To simplify the ratios: c) For the ratio \(7:21:35\), first, find the greatest common divisor (GCD) which is 7. Dividing each term by 7 gives you the simplest form: \(1:3:5\). b) For the ratio \(200:180\), the GCD is 20. Dividing both terms by 20 results in the simplest form: \(10:9\). f) To simplify \(9 \text{ min}:600\), convert \(9 \text{ min}\) to seconds, which is \(9 \times 60 = 540\) seconds. Now, find the GCD of \(540\) and \(600\) (which is \(60\)). Dividing gives \(9:10\). To check these ratios with a calculator, you can input the original numbers and find their GCD or divide them directly to see if the simplified forms hold up!