jaleesa is trying to find the product ( 6\frac{2}{3}cdot4\frac{4}{5} ).\nfirst, she multiplies the whole…

jaleesa is trying to find the product ( 6\frac{2}{3}cdot4\frac{4}{5} ).\nfirst, she multiplies the whole number parts together. then, she multiplies the fraction parts together. jaleesa combines these parts to get her answer of ( 24\frac{8}{15} ).\njaleesa knows her answer is not correct.\na. explain how to find this product correctly.\nb. what is the correct answer?

jaleesa is trying to find the product ( 6\frac{2}{3}cdot4\frac{4}{5} ).\nfirst, she multiplies the whole number parts together. then, she multiplies the fraction parts together. jaleesa combines these parts to get her answer of ( 24\frac{8}{15} ).\njaleesa knows her answer is not correct.\na. explain how to find this product correctly.\nb. what is the correct answer?

Answer

Explanation:

Step 1: Convert mixed numbers to improper fractions

Para convertir (3\frac{6}{5}) a una fracción impropia: (3\frac{6}{5}=\frac{3\times5 + 6}{5}=\frac{15+6}{5}=\frac{21}{5}). Para convertir (4\frac{2}{4}) a una fracción impropia: (4\frac{2}{4}=\frac{4\times4+2}{4}=\frac{16 + 2}{4}=\frac{18}{4}=\frac{9}{2}).

Step 2: Multiplicar las fracciones

(\frac{21}{5}\times\frac{9}{2}=\frac{21\times9}{5\times2}=\frac{189}{10}=18\frac{9}{10}). Jaleesa cometió un error al multiplicar los números enteros y las fracciones por separado. Debería haber convertido primero los números mixtos a fracciones impropias y luego multiplicado.

Answer:

a. Jaleesa no multiplicó correctamente. Debería haber convertido los números mixtos (3\frac{6}{5}) y (4\frac{2}{4}) a fracciones impropias ((\frac{21}{5}) y (\frac{9}{2}) respectivamente) y luego multiplicado las fracciones ((\frac{21}{5}\times\frac{9}{2}=\frac{189}{10})). b. (18\frac{9}{10})