Question

9/10*20/27+5/16:10/24-5/9*1 7/20

Answer 1

$frac{9}{10} times frac{20}{27} + frac{5}{16} div frac{10}{24} - frac{5}{9} times 1 : frac{7}{20} = frac{9}{10} times frac{20}{27} + frac{5}{16} div frac{10}{24} - frac{5}{9} times frac{27}{20} = 2/3$

$1) : frac{9}{10} times frac{20}{27} = frac{9 times 20}{10 times 27} = frac{1 times 2}{1 times 3} = frac{2}{3}$

2) 5/16:10/24=5/16×24/10=5×24/16×10=1×3/2×2=3/4

3) 5/9×27/20=5×27/9×20=1×3/1×4=3/4

4) 2/3+3/4=2/3^4+3/4^3=2×4/3×4+3×3/4×3=8/12+9/12=17/12


5) 17/12-3/4=17/12-3/4^3=17/12-3×3/4×3=17/12-9/12=8/12=

= 8:4/12:4=2/3

Ответ: 2/3