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(3)/(10)÷(9)/(8)

310÷98 \frac{3}{10} \div \frac{9}{8}

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Full solution

Q. 310÷98 \frac{3}{10} \div \frac{9}{8}
  1. Convert to multiplication: Step 11: Convert the division of fractions to multiplication by the reciprocal.\newlineTo divide (310)(\frac{3}{10}) by (98)(\frac{9}{8}), multiply (310)(\frac{3}{10}) by the reciprocal of (98)(\frac{9}{8}), which is (89)(\frac{8}{9}).\newlineCalculation: (310)×(89)(\frac{3}{10}) \times (\frac{8}{9})
  2. Multiply numerators and denominators: Step 22: Multiply the numerators and the denominators.\newlineMultiply the numerators: 3×8=243 \times 8 = 24.\newlineMultiply the denominators: 10×9=9010 \times 9 = 90.\newlineCalculation: 2490\frac{24}{90}
  3. Simplify the fraction: Step 33: Simplify the fraction 2490\frac{24}{90}. The greatest common divisor (GCD) of 2424 and 9090 is 66. Divide both the numerator and the denominator by 66. Calculation: 24÷6=424 \div 6 = 4, 90÷6=1590 \div 6 = 15.

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