Question

Va rog urgent ( cu rezolvare) cat este [ 3/10- 1/4×(5/3-24/25÷40/25)]÷1/6
Va rog cu rezolvare !
Mulțumesc

Answer 1

Sper că te-am ajutat!Mult sucees in continuare!

Answer 2

$\frac{3}{10} - \frac{1}{4} \times ( \frac{5}{3} - \frac{24}{25} : \frac{40}{25} ) : \frac{1}{6} = \\ \\ \frac{24}{25} : \frac{40}{25} = \frac{24}{25} \times \frac{25}{40} = \frac{24 \times 25}{25 \times 40} = \frac{600}{1000} = \frac{3}{5} \\ \\ \frac{5}{3} - \frac{3}{5} = \frac{5 \times 5}{3 \times 5} - \frac{3 \times 3}{5 \times 3} = \frac{25}{15} - \frac{9}{15} = \frac{25 - 9}{15} = \frac{16}{15} \\ \\ \frac{1}{4} \times \frac{16}{15} = \frac{1 \times 16}{4 \times 15} = \frac{16}{60} = \frac{4}{15} \\ \\ \frac{3}{10} - \frac{4}{15} = \frac{3 \times 3}{10 \times 3} - \frac{4 \times 2}{15 \times 2} = \frac{9}{30} - \frac{8}{30} = \frac{9 - 8}{30} = \frac{1}{30} \\ \\ \frac{1}{30} : \frac{1}{6} = \frac{1}{30} : \frac{6}{1} = \frac{1 \times 6}{30 \times 1} = \frac{6}{30} = \frac{1}{5}$