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Divide: (5)/(3)÷(2)/(8)=

Divide:\newline53÷28=\frac{5}{3}\div\frac{2}{8}=

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Full solution

Q. Divide:\newline53÷28=\frac{5}{3}\div\frac{2}{8}=
  1. Understand the problem: Understand the problem.\newlineWe need to divide the fractions" target="_blank" class="backlink">fraction 53\frac{5}{3} by the fraction 28\frac{2}{8}. Division of fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
  2. Find reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of 28\frac{2}{8} is 82\frac{8}{2}, because we swap the numerator and the denominator.
  3. Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(53)×(82)=(5×83×2)(\frac{5}{3}) \times (\frac{8}{2}) = (\frac{5 \times 8}{3 \times 2})
  4. Perform multiplication: Perform the multiplication.\newline(5×8)/(3×2)=40/6(5 \times 8) / (3 \times 2) = 40 / 6
  5. Simplify fraction: Simplify the fraction if possible.\newline40/640 / 6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline40/6=(40/2)/(6/2)=20/340 / 6 = (40/2) / (6/2) = 20 / 3

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