а)
[tex]y \div 1 \frac{1}{8} = 1.(3) \\ y \div \frac{9}{8} = \frac{4}{3} \\ y = \frac{4}{3} \times \frac{9}{8} \\ y = \frac{3}{2} \\ y = 1.5[/tex]
б)
[tex]x \times \frac{5}{16} = 0.02 \\ x = \frac{1}{50} \div \frac{5}{16} \\ x = \frac{16}{50 \times 5} \\ x = \frac{8}{125} \\ x = 0.064[/tex]
в)
[tex]0.8(3) \div x = 0.(4) \times 2 \frac{1}{4} \\ \frac{5}{6} \div x = \frac{4}{9} \times \frac{9}{4} \\ \frac{5}{6} \div x = 1 \\ x = \frac{5}{6} \div 1 \\ x = \frac{5}{6} [/tex]
г)
[tex]y \div 2.5 = 3.(3) \div 4.1(6) \\ y \div \frac{5}{2} = \frac{10}{3} \div \frac{25}{6} \\ y = \frac{10}{3} \times \frac{6}{25} \times \frac{5}{2} \\ y = \frac{10 \times 6 \times 5}{3 \times 25 \times 2} \\ y = 2[/tex]
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Verified answer
а)
[tex]y \div 1 \frac{1}{8} = 1.(3) \\ y \div \frac{9}{8} = \frac{4}{3} \\ y = \frac{4}{3} \times \frac{9}{8} \\ y = \frac{3}{2} \\ y = 1.5[/tex]
б)
[tex]x \times \frac{5}{16} = 0.02 \\ x = \frac{1}{50} \div \frac{5}{16} \\ x = \frac{16}{50 \times 5} \\ x = \frac{8}{125} \\ x = 0.064[/tex]
в)
[tex]0.8(3) \div x = 0.(4) \times 2 \frac{1}{4} \\ \frac{5}{6} \div x = \frac{4}{9} \times \frac{9}{4} \\ \frac{5}{6} \div x = 1 \\ x = \frac{5}{6} \div 1 \\ x = \frac{5}{6} [/tex]
г)
[tex]y \div 2.5 = 3.(3) \div 4.1(6) \\ y \div \frac{5}{2} = \frac{10}{3} \div \frac{25}{6} \\ y = \frac{10}{3} \times \frac{6}{25} \times \frac{5}{2} \\ y = \frac{10 \times 6 \times 5}{3 \times 25 \times 2} \\ y = 2[/tex]