(5) $0.42\times\frac{5}{14}=$\n(6) $1.14div\frac{19}{25}=$\n(7) $\frac{7}{15}div2.45=$\n(8)…

Explanation:

Step1: Convert decimal to fraction for (5)

$0.42=\frac{42}{100}=\frac{21}{50}$, then $0.42\times\frac{5}{14}=\frac{21}{50}\times\frac{5}{14}=\frac{21\times5}{50\times14}=\frac{3}{20} = 0.15$

Step2: Convert division to multiplication for (6)

$1.14=\frac{114}{100}=\frac{57}{50}$, $1.14\div\frac{19}{25}=\frac{57}{50}\times\frac{25}{19}=\frac{57\times25}{50\times19}=\frac{3}{2}=1.5$

Step3: Convert decimal to fraction for (7)

$2.45=\frac{245}{100}=\frac{49}{20}$, $\frac{7}{15}\div2.45=\frac{7}{15}\div\frac{49}{20}=\frac{7}{15}\times\frac{20}{49}=\frac{7\times20}{15\times49}=\frac{4}{21}$

Step4: Convert mixed - number to improper fraction for (8)

$2\frac{2}{15}=\frac{2\times15 + 2}{15}=\frac{32}{15}$, $0.375=\frac{375}{1000}=\frac{3}{8}$, $2\frac{2}{15}\times0.375=\frac{32}{15}\times\frac{3}{8}=\frac{32\times3}{15\times8}=\frac{4}{5}=0.8$

Answer:

(5) $0.15$ (6) $1.5$ (7) $\frac{4}{21}$ (8) $0.8$