化简 (1.4)/3 (1.3+4(1.6)+2(1.8)+4(1.9)+2(2.2)+4(2.3)+2.1)

解答

化简

\frac{1.4}{3} (1.3 + 4 (1.6) + 2 (1.8) + 4 (1.9) + 2 (2.2) + 4 (2.3) + 2.1)

\frac{1211}{75}

十进制

16.14666 \dots

求解步骤

\frac{1.4}{3} (1.3 + 4 (1.6) + 2 (1.8) + 4 (1.9) + 2 (2.2) + 4 (2.3) + 2.1)

\frac{1.4}{3} = \frac{14}{30}

= \frac{14}{30} (1.3 + 4 \cdot 1.6 + 2 \cdot 1.8 + 4 \cdot 1.9 + 2 \cdot 2.2 + 4 \cdot 2.3 + 2.1)

消掉

\frac{14}{30} : \frac{7}{15}

= \frac{7}{15} (1.3 + 4 \cdot 1.6 + 2 \cdot 1.8 + 4 \cdot 1.9 + 2 \cdot 2.2 + 4 \cdot 2.3 + 2.1)

1.3 + 4 \cdot 1.6 + 2 \cdot 1.8 + 4 \cdot 1.9 + 2 \cdot 2.2 + 4 \cdot 2.3 + 2.1 = 34.6

= \frac{7}{15} \cdot 34.6

34.6 = \frac{173}{5}

= \frac{7}{15} \cdot \frac{173}{5}

\frac{7}{15} \cdot \frac{173}{5} = \frac{1211}{75}

= \frac{1211}{75}

f a c t or (x^{2} - 16)^{2}

(x - 5) (x - 12) = 44

f a c t or 6 n^{4} + 20 n^{3} + 14 n^{2}

- 9 e^{- 0} + C = 0

s im pl i f y \frac{\frac{2}{x} - y x}{\frac{1}{y} + \frac{1}{x ^{2}}}