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Jack earns $\$275$ each week, but $\$25$ is withheld for medical insurance. Find the ratio of medical insurance to total pay. Reduce the ratio to lowest terms.

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Calculate unit rates with fractions

Full solution

Q. Jack earns

\$275

each week, but

\$25

is withheld for medical insurance. Find the ratio of medical insurance to total pay. Reduce the ratio to lowest terms.

Calculate Total Pay: First, we need to determine the total pay Jack earns each week before any deductions. This is given as $\$275$ .
Find Medical Insurance Deduction: Next, we need to find out how much is withheld for medical insurance. This amount is given as $\$25$ .
Calculate Ratio: Now, we calculate the ratio of medical insurance to total pay. The ratio is the amount withheld for medical insurance divided by the total pay. $\newline$ Ratio = $\frac{\text{Amount withheld for medical insurance}}{\text{Total pay}}$ $\newline$ Ratio = $\frac{\$25}{\$275}$
Simplify Ratio: To reduce the ratio to its lowest terms, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of $25$ and $275$ is $25$ .
Simplify Ratio: To reduce the ratio to its lowest terms, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of $25$ and $275$ is $25$ .Divide both the numerator and the denominator by the GCD to simplify the ratio. $\newline$ Ratio = ( $\frac{\$25}{25}$ ) / ( $\frac{\$275}{25}$ ) $\newline$ Ratio = $\frac{1}{11}$

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