On which day is the ratio…

Business Questions

On which day is the ratio of women to men higher in the yoga class: Tuesday or Thursday?

Short Answer

To compare ratios effectively, first convert them to fractions, such as 1:6 to 1/6 and 2:11 to 2/11. Then, find a common denominator to allow for a direct comparison of the numerators, which reveals whether one ratio is greater or lesser than the other, guiding adjustments needed for proportionality.

Step-by-Step Solution

Step 1: Convert Ratios to Fractions

To analyze ratios effectively, start by converting them into fraction form. For instance, the ratio 1:6 translates to 1/6, and the ratio 2:11 becomes 2/11. This step is crucial as it allows for easier comparison of the two ratios. Make sure to note the whole numbers involved in the ratios for clarity.

Step 2: Find a Common Denominator

The next step involves expanding the fractions to have a common denominator. For example, to compare 1/6 and 2/11, convert them to a fraction with the same denominator, which here is 66. The converted fractions are 1/6 = 11/66 and 2/11 = 12/66. This will facilitate a direct comparison of the values.

Step 3: Compare the Values

With both fractions in common terms, compare their numerators. In this example, 11 is less than 12. This indicates that there are fewer men on Tuesday, suggesting that there should be a greater number of women to balance the ratio. Therefore, it can be inferred that on Tuesday, the number of women should increase to maintain proportionality.

Related Concepts

Fraction form

A way of representing ratios as fractions, making comparison easier by expressing the parts in a numerator/denominator format

Common denominator

A shared multiple of the denominators of two or more fractions, allowing for direct comparison by expressing each fraction with the same denominator

Numerators

The top part of a fraction that indicates how many parts of a whole are being considered, used for comparing the relative sizes of fractions.

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