Express the ratio $8:56$ in the form $1:n$.
Answer (2)
The ratio 8 : 56 can be expressed in the form 1 : n by dividing both parts by 8, resulting in 1 : 7 . Hence, n = 7 .
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Divide both sides of the ratio 8 : 56 by 8.
Calculate 8 56 = 7 .
Express the ratio as 1 : 7 .
The ratio 8 : 56 expressed in the form 1 : n is 1 : 7 .
Explanation
Understanding the Problem We are given the ratio 8 : 56 and we want to express it in the form 1 : n . This means we need to find a value of n such that the ratio 1 : n is equivalent to 8 : 56 .
Finding the Equivalent Ratio To transform the ratio 8 : 56 into the form 1 : n , we need to divide both sides of the ratio by 8. This will make the left side equal to 1.
Calculating n Dividing both sides of 8 : 56 by 8, we get: 8 8 : 8 56 1 : 7 So, n = 7 .
Final Answer Therefore, the ratio 8 : 56 can be expressed as 1 : 7 .
Examples
Ratios are used in everyday life, such as when cooking or baking. For example, if a recipe calls for a ratio of 1 part flour to 2 parts water, and you only want to use half the amount of flour, you need to adjust the amount of water accordingly to maintain the correct ratio. Understanding ratios helps ensure that the proportions are correct, whether you're scaling up or down a recipe, mixing paint colors, or calculating distances on a map.
