What is 48/57 Divided By 5/8

Answer: 4857÷58\frac{48}{57}\div\frac{5}{8} = 12895\frac{128}{95}

Solving 4857÷58\frac{48}{57}\div\frac{5}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

4857÷58=4857×85\frac{48}{57} \div \frac{5}{8} = \frac{48}{57} \times \frac{8}{5}

  • Multiply the Numerators: 48×8=38448 \times 8 = 384
  • Multiply the Denominators: 57×5=28557 \times 5 = 285
  • Form the New Fraction: 4857×58=384285\frac{48}{57} \times \frac{5}{8} = \frac{384}{285}

Let's Simplify 384285\frac{384}{285}

  • Find the Greatest Common Divisor (GCD) of 384384 and 285285. The GCD of 384384 and 285285 is 33.
  • Divide both the numerator and the denominator by the GCD:384÷3285÷3=12895\frac{384 \div 3}{285 \div 3} = \frac{128}{95}

Answer 4857÷58=12895\frac{48}{57}\div\frac{5}{8} = \frac{128}{95}


The following animation demonstrates the divide-by,

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