Pregunta
upstudy study bank question image url

Compare Fractions Compare. Write \( >,< \), or \( = \) for each \( \begin{array}{lll}\text { 5. } \frac{1}{5} \bigcirc \frac{1}{15} & \text { 6. } \frac{17}{10} \bigcirc \frac{17}{5} & \text { 7. } \frac{5}{25} \\ \text { 8. } \frac{12}{27} \bigcirc \frac{6}{9} & \text { 9. } \frac{11}{16} & \frac{2}{8}\end{array} \) 11. Liam bought \( \frac{5}{8} \) pound of cherries. Harrison bought more cherries tha

Ask by Fernandez Williams. in the United States
Jan 30,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

Here are the comparisons: 1. \( \frac{1}{5} > \frac{1}{15} \) 2. \( \frac{17}{10} < \frac{17}{5} \) 3. \( \frac{5}{25} \) (second fraction missing) 4. \( \frac{12}{27} < \frac{6}{9} \) 5. \( \frac{11}{16} > \frac{2}{8} \)

Solución

Sure, let's compare each pair of fractions by determining whether the first fraction is greater than (`>`), less than (`<`), or equal to (`=`) the second fraction. ### 5. \( \frac{1}{5} \bigcirc \frac{1}{15} \) - **Comparison:** \( \frac{1}{5} \) vs. \( \frac{1}{15} \) - **Convert to Common Denominator (15):** - \( \frac{1}{5} = \frac{3}{15} \) - \( \frac{1}{15} = \frac{1}{15} \) - **Comparison:** \( \frac{3}{15} > \frac{1}{15} \) - **Symbol:** \( \frac{1}{5} > \frac{1}{15} \) ### **Answer:** \( \frac{1}{5} > \frac{1}{15} \) --- ### 6. \( \frac{17}{10} \bigcirc \frac{17}{5} \) - **Comparison:** \( \frac{17}{10} \) vs. \( \frac{17}{5} \) - **Convert to Decimals:** - \( \frac{17}{10} = 1.7 \) - \( \frac{17}{5} = 3.4 \) - **Comparison:** \( 1.7 < 3.4 \) - **Symbol:** \( \frac{17}{10} < \frac{17}{5} \) ### **Answer:** \( \frac{17}{10} < \frac{17}{5} \) --- ### 7. \( \frac{5}{25} \bigcirc \) **(Missing Second Fraction)** It appears that the second fraction for comparison in question 7 is missing. If you provide the second fraction, I'd be happy to help compare them! --- ### 8. \( \frac{12}{27} \bigcirc \frac{6}{9} \) - **Comparison:** \( \frac{12}{27} \) vs. \( \frac{6}{9} \) - **Simplify the Fractions:** - \( \frac{12}{27} = \frac{4}{9} \) (Divide numerator and denominator by 3) - \( \frac{6}{9} = \frac{2}{3} \) (Divide numerator and denominator by 3) - **Convert to Decimals:** - \( \frac{4}{9} \approx 0.444 \) - \( \frac{2}{3} \approx 0.666 \) - **Comparison:** \( 0.444 < 0.666 \) - **Symbol:** \( \frac{12}{27} < \frac{6}{9} \) ### **Answer:** \( \frac{12}{27} < \frac{6}{9} \) --- ### 9. \( \frac{11}{16} \bigcirc \frac{2}{8} \) - **Comparison:** \( \frac{11}{16} \) vs. \( \frac{2}{8} \) - **Simplify the Second Fraction:** - \( \frac{2}{8} = \frac{1}{4} \) - **Convert to Decimals:** - \( \frac{11}{16} = 0.6875 \) - \( \frac{1}{4} = 0.25 \) - **Comparison:** \( 0.6875 > 0.25 \) - **Symbol:** \( \frac{11}{16} > \frac{2}{8} \) ### **Answer:** \( \frac{11}{16} > \frac{2}{8} \) --- ### Summary of Comparisons: | Question | Comparison | |----------|-------------------------------------------| | **5.** | \( \frac{1}{5} > \frac{1}{15} \) | | **6.** | \( \frac{17}{10} < \frac{17}{5} \) | | **7.** | \(\frac{5}{25} \bigcirc \) **Missing** | | **8.** | \( \frac{12}{27} < \frac{6}{9} \) | | **9.** | \( \frac{11}{16} > \frac{2}{8} \) | If you have the missing information for question 7 or need further assistance, feel free to let me know!

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Bonus Knowledge

To compare the fractions, it's helpful to find a common denominator or convert them to decimals. Here’s how they stack up: 1. \( \frac{1}{5} \) and \( \frac{1}{15} \): The first fraction is larger since \( \frac{1}{5} = \frac{3}{15} \), so \( \frac{1}{5} > \frac{1}{15} \). 2. \( \frac{17}{10} \) and \( \frac{17}{5} \): The second fraction is larger because \( \frac{17}{5} = \frac{34}{10} \), so \( \frac{17}{10} < \frac{17}{5} \). 3. \( \frac{5}{25} \): Simplifies to \( \frac{1}{5} \), which we can compare to others if needed. 4. \( \frac{12}{27} \approx 0.44 \) and \( \frac{6}{9} = \frac{2}{3} \approx 0.67 \), thus \( \frac{12}{27} < \frac{6}{9} \). 5. \( \frac{11}{16} \approx 0.6875 \) and \( \frac{2}{8} = \frac{1}{4} = 0.25 \), so \( \frac{11}{16} > \frac{2}{8} \). Final comparisons are: 5. > 6. < 7. = (if comparing \( \frac{5}{25} \) with either) 8. < 9. > As for cherries, if Harrison bought more than \( \frac{5}{8} \) of a pound, they must have opted for at least \( \frac{7}{8} \) or a full pound to stand out!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad