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Evaluate. (5)/(6)÷(1)/(7)=

Evaluate.\newline56÷17= \frac{5}{6} \div \frac{1}{7}=

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Add, subtract, multiply, and divide integersright chevron icon

Full solution

Q. Evaluate.\newline56÷17= \frac{5}{6} \div \frac{1}{7}=
  1. Understanding division of fractions: Understand the operation of division between two fractions.\newlineTo divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
  2. Finding the reciprocal of a fraction: Find the reciprocal of the second fraction.\newlineThe reciprocal of (17)(\frac{1}{7}) is (71)(\frac{7}{1}), because we swap the numerator and the denominator.
  3. Multiplying fractions: Multiply the first fraction by the reciprocal of the second fraction.\newlineNow we perform the operation (56)×(71)(\frac{5}{6}) \times (\frac{7}{1}).
  4. Performing the multiplication: Perform the multiplication.\newlineTo multiply two fractions, we multiply the numerators together and the denominators together.\newline(56)×(71)=(5×76×1)=356(\frac{5}{6}) \times (\frac{7}{1}) = (\frac{5 \times 7}{6 \times 1}) = \frac{35}{6}
  5. Simplifying the result: Simplify the result if necessary.\newlineThe fraction 356\frac{35}{6} is already in its simplest form, so no further simplification is needed.

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