Question

решите уравнение 4,2:m=2 1/3:3 1/8,используя свойство пропорции

Answer 1

4,2 : m = 2 1/3 : 3 1/8

21/5 : m = 7/3 : 25/8

m · 7/3 = 21/5 · 25/8 - свойство пропорции

m · 7/3 = 105/8

m = 105/8 : 7/3

m = 105/8 · 3/7

m = 45/8

m = 5 целых 5/8

Проверка:

21/5 : 45/8 = 7/3 : 25/8

21/5 · 8/45 = 7/3 · 8/25

168/225 = 56/75

0,74(6) = 0,74(6) - верно.

Answer 2

$4.2 \div m = 2 \frac{1}{3} \div 3 \frac{1}{8} \\ m= 4.2 \times 3 \frac{1}{8} \div 2 \frac{1}{3} \\ m = \frac{42}{10} \times \frac{25}{8} \div \frac{7}{3} \\ m = \frac{42 \times 25 \times 3}{10 \times 8 \times 7} \\ m= \frac{3 \times 5 \times 3}{8} \\ m = \frac{45}{8} = 5 \frac{5}{8}$