Question

4 1/6 :(1/4х +16/15)-1 5/6 =2/3

Answer 1

$4 frac{1}{6} div ( frac{1}{4} x + frac{16}{15} ) - 1 frac{5}{6} = frac{2}{3 } \ 4 frac{1}{6} div ( frac{x}{4} + frac{16}{15} ) = frac{2}{3} + 1 frac{5}{6} \ frac{25}{6} div ( frac{x}{4} + frac{16}{15} ) = frac{2}{3} + frac{11}{6} \ frac{25}{6} div ( frac{x}{4} + frac{16}{15} ) = frac{4}{6} + frac{11}{6} \ frac{25}{6} div ( frac{x}{4} + frac{16}{15}) = frac{15}{6} \ frac{x}{4} + frac{16}{15} = frac{25}{6} div frac{15}{6} \ frac{x}{4} + frac{16}{15} = frac{25}{6} times frac{6}{15} \ frac{x}{4} + frac{16}{15} = frac{25}{15} \ frac{x}{4} = frac{25}{15} - frac{16}{15} \ frac{x}{4} = frac{9}{15} \ x = frac{4 times 9}{15} = frac{36}{15} = frac{12}{5} = 2 frac{2}{5}$