What is 19/70 Divided By 1/8

Answer: 1970÷18\frac{19}{70}\div\frac{1}{8} = 7635\frac{76}{35}

Solving 1970÷18\frac{19}{70}\div\frac{1}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1970÷18=1970×81\frac{19}{70} \div \frac{1}{8} = \frac{19}{70} \times \frac{8}{1}

  • Multiply the Numerators: 19×8=15219 \times 8 = 152
  • Multiply the Denominators: 70×1=7070 \times 1 = 70
  • Form the New Fraction: 1970×18=15270\frac{19}{70} \times \frac{1}{8} = \frac{152}{70}

Let's Simplify 15270\frac{152}{70}

  • Find the Greatest Common Divisor (GCD) of 152152 and 7070. The GCD of 152152 and 7070 is 22.
  • Divide both the numerator and the denominator by the GCD:152÷270÷2=7635\frac{152 \div 2}{70 \div 2} = \frac{76}{35}

Answer 1970÷18=7635\frac{19}{70}\div\frac{1}{8} = \frac{76}{35}


The following animation demonstrates the divide-by,

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