Question9. $-\frac{3}{7} \div \frac{5}{14}=$ A. $\frac{15}{95}$ B. $-\frac{15}{98}$ C. $1 \frac{1}{5}$ (D)
10. Which of the following is in order from shortest to longest? F. $2 \frac{1}{2} \mathrm{ft}, \frac{7}{9} \mathrm{yd}, 2 \frac{2}{3} \mathrm{ft}, 33 \mathrm{in}$. G. $\frac{7}{9} \mathrm{yd}, 2 \frac{1}{2} \mathrm{ft}, 2 \frac{2}{3} \mathrm{ft}, 33 \mathrm{in}$. H. $\frac{7}{9} \mathrm{yd}, 2 \frac{1}{2} \mathrm{ft}, 33 \mathrm{in} ., 2 \frac{2}{3} \mathrm{ft}$ (J.) 33 in ., $2 \frac{1}{2} \mathrm{ft}, 2 \frac{2}{3} \mathrm{ft}, \frac{7}{9} \mathrm{yd}$

Studdy Solution
Simplify the fraction:
$-\frac{42}{35} = -\frac{6}{5} = -1 \frac{1}{5}$
The correct answer for problem 9 is:
$\boxed{-\frac{6}{5} \text{ or } -1 \frac{1}{5}}$
Problem 10:
STEP_1: Convert all measurements to inches (common unit).
1. $2 \frac{1}{2} \text{ ft} = 2.5 \times 12 = 30 \text{ in}$
2. $\frac{7}{9} \text{ yd} = \frac{7}{9} \times 36 = 28 \text{ in}$
3. $2 \frac{2}{3} \text{ ft} = 2.67 \times 12 = 32 \text{ in}$
4. $33 \text{ in}$
STEP_2: Compare the converted values:
1. $28 \text{ in}$
2. $30 \text{ in}$
3. $32 \text{ in}$
4. $33 \text{ in}$
STEP_3: Order the values from shortest to longest:
$\frac{7}{9} \text{ yd}, 2 \frac{1}{2} \text{ ft}, 2 \frac{2}{3} \text{ ft}, 33 \text{ in}$
The correct answer for problem 10 is:
$\boxed{\text{H. } \frac{7}{9} \text{ yd}, 2 \frac{1}{2} \text{ ft}, 33 \text{ in}, 2 \frac{2}{3} \text{ ft}}$