Which ratio is less than StartFraction 15 Over 24 EndFraction?

One-half
StartFraction 7 Over 8 EndFraction
StartFraction 19 Over 24 EndFraction
StartFraction 6 Over 8 EndFraction

1 answer

To determine which ratio is less than \(\frac{15}{24}\), we can compare each of the options to \(\frac{15}{24}\).

First, let's simplify \(\frac{15}{24}\): \[ \frac{15 \div 3}{24 \div 3} = \frac{5}{8} \]

Now let's convert each option to a decimal or a common fraction for easier comparison:

  1. One-half: \[ \frac{1}{2} = \frac{4}{8} \]

  2. \(\frac{7}{8}\): This is already in the correct form and is equal to \(0.875\).

  3. \(\frac{19}{24}\): To compare, we'll convert it to a decimal: \[ 19 \div 24 \approx 0.7917 \]

  4. \(\frac{6}{8}\) (which simplifies to \(\frac{3}{4}\)): \[ \frac{3}{4} = 0.75 \]

Now, we can compare each option with \(\frac{5}{8} = 0.625\):

  • \(\frac{1}{2} = 0.5\) (less than \(\frac{5}{8}\)): This is a candidate.
  • \(\frac{7}{8} = 0.875\) (greater than \(\frac{5}{8}\)): not a candidate.
  • \(\frac{19}{24} \approx 0.7917\) (greater than \(\frac{5}{8}\)): not a candidate.
  • \(\frac{6}{8} = \frac{3}{4} = 0.75\) (greater than \(\frac{5}{8}\)): not a candidate.

The only ratio that is less than \(\frac{15}{24}\) is \(\frac{1}{2}\).

Thus, the answer is: \[ \text{One-half} \]