Question

Efectuati:
d) 1 2/15 - 1/4 : (2 1/3 + 1/2 × 1 1/3)
c) 1/6 + 1 1/2 × (3/4 - 1/2)​

Answer 1

c)

$\frac{1}{6} + 1 \frac{1}{2} \times ( \frac{3}{4} - \frac{1}{2} ) \\ = \frac{1}{6} + \frac{3}{2} \times ( \frac{3}{4} - \frac{2}{4} ) \\ = \frac{1}{6} + \frac{3}{2} \times \frac{1}{2} \\ = \frac{1}{6 } + \frac{3}{4} \\ = \frac{2}{12} + \frac{6}{12} \\ = \frac{8}{12} = \frac{2}{3}$

d)

$1 \frac{2}{15} - \frac{1}{4} \div (2 \frac{1}{3} + \frac{1}{2} \times 1 \frac{1}{3} ) \\ = \frac{17}{15} - \frac{1}{4} \div ( \frac{7}{3} + \frac{1}{2} \times \frac{4}{3} ) \\ = \frac{17}{15} - \frac{1}{4} \div ( \frac{7}{3} + \frac{4}{6} ) \\ = \frac{17}{15} - \frac{1}{4} \div ( \frac{7}{3} + \frac{2}{3} ) \\ = \frac{17}{15} - \frac{1}{4} \div \frac{9}{3} \\ = \frac{17}{15} - \frac{1}{4} \times \frac{3}{9} \\ = \frac{17}{15} - \frac{3}{36} \\ = \frac{204}{108} - \frac{15}{108} \\ = \frac{189}{108} = \frac{63}{60} = \frac{21}{20}$

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