Jorge has a recipe that calls for \( 2 \frac{1}{3} \) cups of flour. He plans to make \( 1 \frac{1}{2} \) times the recipe. Will the amount of flour Jorge needs be equal to, greater than, or less than the amount of flour his recipe calls for?
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Bonus Knowledge
To find out how much flour Jorge needs, we first need to convert the mixed numbers into improper fractions. The original amount of flour is \( 2 \frac{1}{3} \): - Convert \( 2 \) into thirds: \( 2 \times 3 = 6 \) - Add the extra \( 1 \): \( 6 + 1 = 7 \) - So, \( 2 \frac{1}{3} = \frac{7}{3} \). Now, we multiply by \( 1 \frac{1}{2} \): - Convert \( 1 \frac{1}{2} \) into an improper fraction: \( 1 \times 2 + 1 = 3 \) so, \( 1 \frac{1}{2} = \frac{3}{2} \). Now, multiply: \[ \frac{7}{3} \times \frac{3}{2} = \frac{7 \times 3}{3 \times 2} = \frac{7}{2}. \] Now convert \( \frac{7}{2} \) back into a mixed number: - \( 7 \div 2 = 3 \) with a remainder of \( 1 \), so \( \frac{7}{2} = 3 \frac{1}{2} \). Since \( 3 \frac{1}{2} \) is greater than \( 2 \frac{1}{3} \), Jorge will need **greater than** the amount of flour his recipe calls for.
