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1(9)/(16)÷(3)/(8)

1916÷38 1 \frac{9}{16} \div \frac{3}{8}

Full solution

Q. 1916÷38 1 \frac{9}{16} \div \frac{3}{8}
  1. Divide by fraction: Now, divide the improper fraction by the fraction (38)(\frac{3}{8}).\newlineTo divide by a fraction, multiply by its reciprocal.\newlineSo, (2516)÷(38)=(2516)×(83)(\frac{25}{16}) \div (\frac{3}{8}) = (\frac{25}{16}) \times (\frac{8}{3})
  2. Multiply numerators and denominators: Multiply the numerators and then the denominators.\newline(25×8)/(16×3)=200/48(25 \times 8) / (16 \times 3) = 200 / 48
  3. Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 88. \newline200÷8=25200 \div 8 = 25, and 48÷8=648 \div 8 = 6 \newlineSo, 20048\frac{200}{48} simplifies to 256\frac{25}{6}
  4. Convert back to mixed number: Convert the improper fraction back to a mixed number. 256=416\frac{25}{6} = 4\frac{1}{6}