Question

homework problems (problems are done on notebook paper.)
1.
\

$$\begin{array}{r}\ 2,654\\\ 8,793\\\ 6,975\\\ +3,889\\\ \\hline\ \\end{array}$$

2.
\

$$\begin{array}{r}\ 15,306\\\ -9,387\\\ \\hline\ \\end{array}$$

3.
\

$$\begin{array}{r}\ 485\\\ \\times937\\\ \\hline\ \\end{array}$$

1. \frac{3}{4}-\frac{4}{7}=\frac{11}{12}
2. 3.2^2
3. 24 fl. oz. = \underline{\quad\quad} pt.
4. 22 qt. = \underline{\quad\quad} pk.
5. 10.3 dal = \underline{\quad\quad} cl
6. 19\frac{2}{5}\\% of 3,500
7. 7 \div \frac{1}{4}
8. 12 is what percent of 38? (nearest whole percent)
9. \frac{1}{2} of 480
10. \frac{1}{5}\\% of 480

Explanation:

Step1: Sumar los números

$2,654 + 8,793 + 6,975 + 3,889 = 22,311$

Step2: Restar los números

$15,306 - 9,387 = 5,919$

Step3: Multiplicar los números

$485 \times 937 = 454,445$

Step4: Resolver la proporción

$\frac{\frac{3}{4}}{\frac{7}{1}} = \frac{1\frac{1}{2}}{x} \implies \frac{3}{4}x = \frac{21}{2} \implies x = \frac{21}{2} \times \frac{4}{3} = 14$

Step5: Calcular la potencia

$3.2^2 = 3.2 \times 3.2 = 10.24$

Step6: Convertir onzas a pintas

$24 \text{ fl. oz.} = \frac{24}{16} = 1.5 \text{ pt.}$

Step7: Convertir cuartos a pecks

$22 \text{ qt.} = \frac{22}{16} = 1.375 \text{ pk.}$

Step8: Convertir decalitros a centilitros

$10.3 \text{ daL} = 10.3 \times 1000 = 10300 \text{ cL}$

Step9: Calcular el porcentaje del número

$19\frac{2}{5}\% = 0.194$; $0.194 \times 3500 = 679$

Step10: Dividir por una fracción

$7 \div \frac{1}{4} = 7 \times 4 = 28$

Step11: Calcular el porcentaje

$\frac{12}{38} \times 100 \approx 31.58 \approx 32\%$

Step12: Calcular la mitad del número

$\frac{1}{2} \times 480 = 240$

Step13: Calcular el porcentaje del número

$\frac{1}{2}\% = 0.005$; $0.005 \times 480 = 2.4$

Answer:

1. 22,311
2. 5,919
3. 454,445
4. 14
5. 10.24
6. 1.5
7. 1.375
8. 10300
9. 679
10. 28
11. 32%
12. 240
13. 2.4