Question
2. Write each of the following as a ratio in simplest form. (Hint: Convert to the same unit first.) \( \begin{array}{lll}\text { a. } 60 ¢: 6 & \text { b. } 75 ¢: 3.75 & \text { c. } 90 \mathrm{~cm}: 1.5 \mathrm{~m} \\ \text { d. } 0.6 \mathrm{~kg}: 900 \mathrm{~g} & \text { e. } 3.5 \mathrm{~kg}: 500 \mathrm{~g} & \text { f. } 40 \mathrm{~min}: 3 \mathrm{hours} \\ \text { g. } 20 \mathrm{~min}: 2 \text { hours } & \text { h. } 3 \text { hours }: 40 \mathrm{~min} & \text { i. } 50 \mathrm{~cm}: 3 \mathrm{~m}: 70 \mathrm{~cm} \\ \text { j. } 90 \mathrm{~cm}: 400 \mathrm{~mm}: 3 \mathrm{~m} & \text { k. } 3.5 \text { hours }: 2 \text { days } & \text { l. } 0.12 \mathrm{~km}: 400 \mathrm{~m}: 1.5 \mathrm{~km}\end{array} \)
Ask by Haynes Cervantes. in Australia
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Here are the simplified ratios:
a. 1 : 10
b. 1 : 5
c. 3 : 5
d. 2 : 3
e. 7 : 1
f. 2 : 9
g. 1 : 6
h. 9 : 2
i. 5 : 30 : 7
j. 9 : 4 : 30
k. 7 : 96
l. 6 : 20 : 75
Solution
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Extra Insights
To convert values to the same unit and simplify ratios, it's crucial to know how to manipulate measurements effectively. For instance, **a. 60¢: 6**, convert 60¢ to dollars (0.60). The ratio becomes 0.60:6. Simplifying it gives you 1:10. How fun! Now, let's look at **b. 75¢: 3.75**. 75¢ as a dollar is 0.75, and therefore the ratio becomes 0.75:3.75. Dividing both by 0.75 gives you a simplified ratio of 1:5. Voila! Ratios for everyone!