Question

 Найдите неизвестный член пропорции: 6 2/3 : 1 7/9 х = 0 ,48 : 1,2 

Answer 1

6 2/3 * 1,2 = 1 7/9х * 0,48
20/3 * 1,2 = 8
1 7/9х * 0,48 = 8
16/9х = 8 : 0,48
16/9х = 8/1 * 100/48
16/9х= 100/6
16/9х=50/3
х=50/3 : 16/9 = 50/3 * 9/16 = 75/8 = 9 3/8
Ответ: 9 3/8

Answer 2

$6frac23:1frac79x=0,48:1,2\frac{20}3:frac{16}9x=frac{12}{25}:frac65\frac{20}3cdotfrac9{16x}=frac{12}{25}cdotfrac56\frac{15}{4x}=frac25\frac{4x}{15}=frac52\x=frac52cdotfrac{15}4\x=frac{75}8=9frac38$