What is 19/70 Divided By 1/4

Answer: 1970÷14\frac{19}{70}\div\frac{1}{4} = 3835\frac{38}{35}

Solving 1970÷14\frac{19}{70}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1970÷14=1970×41\frac{19}{70} \div \frac{1}{4} = \frac{19}{70} \times \frac{4}{1}

  • Multiply the Numerators: 19×4=7619 \times 4 = 76
  • Multiply the Denominators: 70×1=7070 \times 1 = 70
  • Form the New Fraction: 1970×14=7670\frac{19}{70} \times \frac{1}{4} = \frac{76}{70}

Let's Simplify 7670\frac{76}{70}

  • Find the Greatest Common Divisor (GCD) of 7676 and 7070. The GCD of 7676 and 7070 is 22.
  • Divide both the numerator and the denominator by the GCD:76÷270÷2=3835\frac{76 \div 2}{70 \div 2} = \frac{38}{35}

Answer 1970÷14=3835\frac{19}{70}\div\frac{1}{4} = \frac{38}{35}


The following animation demonstrates the divide-by,

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