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(5)/(6)÷3=

56÷3= \frac{5}{6} \div 3=

Full solution

Q. 56÷3= \frac{5}{6} \div 3=
  1. Understand division of fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of 33 is 13\frac{1}{3}.
  2. Multiply fraction by reciprocal: Multiply the fraction (56)(\frac{5}{6}) by the reciprocal of 33 (13)(\frac{1}{3}).56×13=518\frac{5}{6} \times \frac{1}{3} = \frac{5}{18}
  3. Perform multiplication of fractions: Perform the multiplication of the two fractions.\newlineMultiply the numerators together and the denominators together.\newline5×1=55 \times 1 = 5\newline6×3=186 \times 3 = 18\newlineSo, 56×13=518\frac{5}{6} \times \frac{1}{3} = \frac{5}{18}
  4. Simplify fraction if necessary: Simplify the fraction if necessary.\newlineThe fraction 518\frac{5}{18} is already in its simplest form, as 55 and 1818 have no common factors other than 11.