Question

bernardo is converting a fraction, (\frac{a}{b}), to a percent. both a and b are whole numbers and not equal to zero. which expression represents the percent? (\bigcirc) ((a div b) div 100) (\bigcirc) ((b div a) div 100) (\bigcirc) (100(a div b)) (\bigcirc) (100(b div a))

Explanation:

Step1: Recall fraction to percent conversion

To convert a fraction \(\frac{a}{b}\) to a percent, first divide \(a\) by \(b\) (i.e., \(a\div b\)) to get the decimal form. Then, multiply by 100 to convert the decimal to a percent.

Step2: Analyze the options

• Option 1: \((a\div b)\div 100\) divides the decimal by 100, which is incorrect for percent conversion.
• Option 2: \((b\div a)\div 100\) uses \(b\div a\) instead of \(a\div b\) and divides by 100, incorrect.
• Option 3: \(100(a\div b)\) first does \(a\div b\) (decimal) and then multiplies by 100 to get percent, correct.
• Option 4: \(100(b\div a)\) uses \(b\div a\) instead of \(a\div b\), incorrect.

Answer:

\(100(a\div b)\) (the third option)