Reeves Washington
04/27/2024 · Senior High School

Escribir la razón de los siguientes númeras, y huaga calcular al volor da la raxín. \( \begin{array}{lllll}32 y 12 & \text { b) } 0.4 \text { y } 0.64 & \text { c) } \frac{1}{3} y \frac{4}{7} & \text { d) } 0.1 \text { y } 0.45 & \text { e) } 0.48 \text { y } \frac{1}{6} \\ 56 \text { y } 0.8 & \text { 9) } 0.002 \text { y } \frac{100}{3} & \text { h) } 01 \text { y } 27 & \text { i) } \frac{13}{5} \times \frac{39}{60} & \text { j) } 11 \text { y } \frac{33}{4}\end{array} \)

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Para calcular la razón entre dos números, se divide el primer número entre el segundo. A continuación, se presentan los cálculos para cada par de números: a) \( 32 \) y \( 12 \) \[ \text{Razón} = \frac{32}{12} = \frac{8}{3} \approx 2.67 \] b) \( 0.4 \) y \( 0.64 \) \[ \text{Razón} = \frac{0.4}{0.64} = \frac{4}{6.4} = \frac{10}{16} = \frac{5}{8} = 0.625 \] c) \( \frac{1}{3} \) y \( \frac{4}{7} \) \[ \text{Razón} = \frac{\frac{1}{3}}{\frac{4}{7}} = \frac{1}{3} \times \frac{7}{4} = \frac{7}{12} \approx 0.583 \] d) \( 0.1 \) y \( 0.45 \) \[ \text{Razón} = \frac{0.1}{0.45} = \frac{1}{4.5} = \frac{2}{9} \approx 0.222 \] e) \( 0.48 \) y \( \frac{1}{6} \) \[ \text{Razón} = \frac{0.48}{\frac{1}{6}} = 0.48 \times 6 = 2.88 \] f) \( 56 \) y \( 0.8 \) \[ \text{Razón} = \frac{56}{0.8} = 70 \] g) \( 0.002 \) y \( \frac{100}{3} \) \[ \text{Razón} = \frac{0.002}{\frac{100}{3}} = 0.002 \times \frac{3}{100} = \frac{0.006}{100} = 0.00006 \] h) \( 0.1 \) y \( 27 \) \[ \text{Razón} = \frac{0.1}{27} \approx 0.0037 \] i) \( \frac{13}{5} \times \frac{39}{60} \) \[ \text{Razón} = \frac{13}{5} \times \frac{39}{60} = \frac{13 \times 39}{5 \times 60} = \frac{507}{300} \approx 1.69 \] j) \( 11 \) y \( \frac{33}{4} \) \[ \text{Razón} = \frac{11}{\frac{33}{4}} = 11 \times \frac{4}{33} = \frac{44}{33} = \frac{4}{3} \approx 1.33 \] Resumiendo las razones: - a) \( \frac{8}{3} \) o \( 2.67 \) - b) \( \frac{5}{8} \) o \( 0.625 \) - c) \( \frac{7}{12} \) o \( 0.583 \) - d) \( \frac{2}{9} \) o \( 0.222 \) - e) \( 2.88 \) - f) \( 70 \) - g) \( 0.00006 \) - h) \( 0.0037 \) - i) \( \frac{507}{300} \) o \( 1.69 \) - j) \( \frac{4}{3} \) o \( 1.33 \)

Quick Answer

a) \( \frac{8}{3} \) o \( 2.67 \) b) \( \frac{5}{8} \) o \( 0.625 \) c) \( \frac{7}{12} \) o \( 0.583 \) d) \( \frac{2}{9} \) o \( 0.222 \) e) \( 2.88 \) f) \( 70 \) g) \( 0.00006 \) h) \( 0.0037 \) i) \( \frac{507}{300} \) o \( 1.69 \) j) \( \frac{4}{3} \) o \( 1.33 \)
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