Question

aarons soccer team is voting on a new team flag. they are voting on three designs. each flag is the same size. design 1 is \\(\frac{2}{3}\\) blue. design 2 is \\(\frac{1}{6}\\) blue. design 3 is \\(\frac{3}{8}\\) blue. compare the amount of blue in each design by ordering the fractions from least to greatest. enter the correct answers in the boxes. show hints \\(\square < \square < \square\\)

Explanation:

Step1: Encontrar mínimo común denominador

El mínimo común múltiplo de 3, 6 y 8 es 24.

Step2: Convertir fracciones a denominador 24

$\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
$\frac{1}{6} = \frac{1 \times 4}{6 \times 4} = \frac{4}{24}$
$\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}$

Step3: Ordenar fracciones equivalentes

Al comparar los numeradores: $4 < 9 < 16$, así que $\frac{4}{24} < \frac{9}{24} < \frac{16}{24}$

Step4: Reemplazar por fracciones originales

Sustituir las fracciones equivalentes por las originales.

Answer:

$\frac{1}{6} < \frac{3}{8} < \frac{2}{3}$