what is the quotient of 5/4? a. 5/4 b. 1 1/4 c. 1 1/5 d. 1 3/4 which of the following is equal in value to…

Explanation:

Step1: Calculate 5/4 as a mixed - number

$5\div4 = 1$ remainder $1$, so $\frac{5}{4}=1\frac{1}{4}$.

Step2: Convert 9/7 to a mixed - number

$9\div7 = 1$ remainder $2$, so $\frac{9}{7}=1\frac{2}{7}$.

Step3: Calculate 81/9

$81\div9 = 9$.

Step4: Find the number of 1/8 in 3/4

$\frac{3}{4}\div\frac{1}{8}=\frac{3}{4}\times8 = 6$.

Step5: Calculate 4/5×6/7

$\frac{4}{5}\times\frac{6}{7}=\frac{4\times6}{5\times7}=\frac{24}{35}$.

Step6: Calculate 4/7÷2/3

$\frac{4}{7}\div\frac{2}{3}=\frac{4}{7}\times\frac{3}{2}=\frac{4\times3}{7\times2}=\frac{6}{7}$.

Step7: Calculate the volume of the first rectangular prism

$V = L\times W\times H=6\times2\times1 = 12$ $cm^{3}$.

Step8: Calculate the volume of the second rectangular prism

$V = L\times W\times H=3\times2\times2 = 12$ $cm^{3}$.

Step9: Calculate the volume of the third rectangular prism

$V = L\times W\times H=6\times3\times4 = 72$ $cm^{3}$.

Answer:

1. B. $1\frac{1}{4}$
2. A. $1\frac{2}{7}$
3. B. 9
4. D. 6
5. B. $\frac{24}{35}$
6. C. $\frac{6}{7}$
7. $12$ $cm^{3}$
8. $12$ $cm^{3}$
9. $72$ $cm^{3}$