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Divide: (6)/(4)÷(9)/(15)=

Divide:\newline64÷915=\frac{6}{4}\div\frac{9}{15}=

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Full solution

Q. Divide:\newline64÷915=\frac{6}{4}\div\frac{9}{15}=
  1. Recognize Division Rule: Simplify the division problem by recognizing that dividing by a fraction is the same as multiplying by its reciprocal.\newlineThe reciprocal of (915)(\frac{9}{15}) is (159)(\frac{15}{9}).
  2. Multiply by Reciprocal: Multiply (64)(\frac{6}{4}) by the reciprocal of (915)(\frac{9}{15}), which is (159)(\frac{15}{9}).(64)×(159)=(6×154×9)(\frac{6}{4}) \times (\frac{15}{9}) = (\frac{6\times15}{4\times9})
  3. Perform Multiplication: Perform the multiplication in the numerator and the denominator.\newline(6×15)/(4×9)=90/36(6\times15) / (4\times9) = 90 / 36
  4. Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 1818.9036=90/1836/18=52\frac{90}{36} = \frac{90/18}{36/18} = \frac{5}{2}

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