Questions: -5 1/3 × -3 1/3 = □ □/□

-5 1/3 × -3 1/3 = □ □/□
Transcript text: $-5 \frac{1}{3} \times-3 \frac{1}{3}=\square \frac{\square}{\square}$
failed

Solution

failed
failed

To solve the multiplication of two mixed numbers, we first convert each mixed number into an improper fraction. Then, we multiply the two improper fractions. Finally, we simplify the resulting fraction and convert it back to a mixed number if necessary.

Paso 1: Convertir números mixtos a fracciones impropias

Para multiplicar los números mixtos \(-5 \frac{1}{3}\) y \(-3 \frac{1}{3}\), primero los convertimos a fracciones impropias.

\[ -5 \frac{1}{3} = -\left(5 + \frac{1}{3}\right) = -\frac{15}{3} - \frac{1}{3} = -\frac{16}{3} \]

\[ -3 \frac{1}{3} = -\left(3 + \frac{1}{3}\right) = -\frac{9}{3} - \frac{1}{3} = -\frac{10}{3} \]

Paso 2: Multiplicar las fracciones impropias

Multiplicamos las fracciones impropias obtenidas:

\[ -\frac{16}{3} \times -\frac{10}{3} = \frac{160}{9} \]

Paso 3: Simplificar la fracción resultante

La fracción \(\frac{160}{9}\) ya está en su forma más simple, pero podemos convertirla a un número mixto:

\[ \frac{160}{9} = 17 \frac{7}{9} \]

Respuesta Final

La multiplicación de los números mixtos es:

\[ \boxed{17 \frac{7}{9}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A preferred stock from Hecla Mining Company (HLPRB) pays 3.20 in annual dividends. If the required rate of return on the preferred stock is 7.6 percent, what is the fair present value of the stock? Note: Round your answer to 2 decimal places. (e.g., 32.16)
failedAnswered
Feliz será aquele que não se comparar, não julgar e não invejar os outros. Cuidará do seu jardim para ser mais feliz e melhor consigo mesmo.
failedAnswered
State whether the following rule defines y as a function of x or not. x 80 15 0 -1 0 15 80 y 9 4 1 0 -1 -4 -9 Is y a function of x? A. No, because at least one y-value of the given rule corresponds to more than one x-value. B. No, because at least one x-value of the given rule corresponds to more than one y-value. C. Yes, because each x-value of the given rule corresponds to exactly one y-value. D. Yes, because each y-value of the given rule corresponds to exactly one x-value.
failedAnswered
A nurse is assessing a postoperative client prior to a teaching session. The nurse notes that the client is grimacing and restless. Which of the following barriers to learning is the client exhibiting? Psychomotor deficit Depression Physical discomfort Lack of motivation
failedAnswered
2. Suppose at a particular restaurant you have eight choices for an appetizer, eleven choices for a main course, and five choices for dessert. If you are allowed to choose exactly one item from each category for your meal, how many different meal options do you have?