Question

1. \\(\frac{5}{9} = \frac{}{25}\\)\
2. \\(\frac{7}{8} = \frac{}{56}\\)\
3. \\(\frac{1}{4} = \frac{3}{4}\\)\
4. \\(\frac{1}{2} = \frac{2}{}\\)\
5. \\(\frac{1}{8} = \frac{1}{5}\\)\
6. write 16%, \\(2\frac{1}{2}\\)%, 510%, \\(\frac{1}{4}\\)%, 7%, \\(13\frac{3}{8}\\)%, and 29% as equivalent decimals.\
7. write the greater: \\(\frac{27}{54}\\) or \\(\frac{16}{27}\\); cm or dccclxii; 2.3 hg or 231 dag.\
8. 8 is what percent of 56? (nearest whole percent)\
9. \\(6\frac{3}{4}\\)% of $1,650\
10. 46% of $32,600\
11. what percent of the first twenty counting numbers (1–20) are prime?\
12. the robertsons recently purchased a new home. in the yard there are 4 oak trees, 2 poplar trees, 7 pine trees, and 1 magnolia tree. what percent of the trees are pine trees?

Explanation:

Step1: Completar fracción equivalente

$\frac{5}{9} = \frac{25}{45}$ (multiplicar numerador y denominador por 5)

Step2: Completar fracción equivalente

$\frac{7}{8} = \frac{49}{56}$ (multiplicar numerador y denominador por 7)

Step3: Completar fracción equivalente

$\frac{\frac{1}{4}}{1} = \frac{\frac{3}{4}}{3}$ (multiplicar numerador y denominador por 3)

Step4: Completar fracción equivalente

$\frac{\frac{1}{2}}{1} = \frac{2}{4}$ (multiplicar numerador y denominador por 4)

Step5: Completar fracción equivalente

$\frac{\frac{1}{8}}{5} = \frac{1}{40}$ (multiplicar numerador y denominador por 8)

Step6: Convertir porcentajes a decimales

$16\% = 0.16$; $2\frac{1}{2}\% = 0.025$; $510\% = 5.1$; $\frac{1}{4}\% = 0.0025$; $7\% = 0.07$; $13\frac{3}{8}\% = 0.13375$; $29\% = 0.29$

Step7: Comparar fracciones

$\frac{27}{54}=0.5$, $\frac{16}{27}\approx0.592$, mayor es $\frac{16}{27}$

Step8: Comparar números romanos

DCCCLXII = 862, CM = 900, mayor es CM

Step9: Comparar unidades de masa

$2.3\ \text{hg}=230\ \text{dag}$, mayor es 231 dag

Step10: Calcular porcentaje

$\frac{8}{56} \times 100 \approx 14\%$

Step11: Calcular porcentaje de monto

$6\frac{3}{4}\% \times 1650 = 0.0675 \times 1650 = 111.375$

Step12: Calcular porcentaje de monto

$46\% \times 32600 = 0.46 \times 32600 = 14996$

Step13: Contar números primos 1-20

Números primos: 2,3,5,7,11,13,17,19 (8 números). $\frac{8}{20} \times 100 = 40\%$

Step14: Calcular porcentaje de pinos

Total árboles: $4+2+7+1=14$. $\frac{7}{14} \times 100 = 50\%$

Answer:

1. $\frac{5}{9} = \frac{25}{45}$
2. $\frac{7}{8} = \frac{49}{56}$
3. $\frac{\frac{1}{4}}{1} = \frac{\frac{3}{4}}{3}$
4. $\frac{\frac{1}{2}}{1} = \frac{2}{4}$
5. $\frac{\frac{1}{8}}{5} = \frac{1}{40}$
6. $16\%=0.16$; $2\frac{1}{2}\%=0.025$; $510\%=5.1$; $\frac{1}{4}\%=0.0025$; $7\%=0.07$; $13\frac{3}{8}\%=0.13375$; $29\%=0.29$
7. $\frac{16}{27}$; CM; 231 dag
8. $14\%$
9. $\$111.38$ (redondeado)
10. $\$14996$
11. $40\%$
12. $50\%$