Question

hannahs water bottle had \\(\frac{7}{8}\\) gallon of water. she drank \\(\frac{5}{6}\\) gallon. which equation shows the fraction of a gallon of water that is left in the bottle?\\(\frac{21}{24} - \frac{5}{24} = \frac{16}{24}\\) \\(\frac{28}{24} - \frac{15}{24} = \frac{13}{24}\\) \\(\frac{21}{24} - \frac{20}{24} = \frac{1}{24}\\) \\(\frac{7}{24} - \frac{5}{24} = \frac{2}{24}\\)

Explanation:

Step1: Encontrar mínimo común denominador

El mínimo común múltiplo de 8 y 6 es 24. Convertimos las fracciones:
$\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}$
$\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}$

Step2: Restar las fracciones equivalentes

Restamos la cantidad bebida de la cantidad inicial:
$\frac{21}{24} - \frac{20}{24} = \frac{1}{24}$

Answer:

C. $\frac{21}{24} - \frac{20}{24} = \frac{1}{24}$