What is 74/42 Divided By 4/1

Answer: 7442÷41\frac{74}{42}\div\frac{4}{1} = 3784\frac{37}{84}

Solving 7442÷41\frac{74}{42}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

7442÷41=7442×14\frac{74}{42} \div \frac{4}{1} = \frac{74}{42} \times \frac{1}{4}

  • Multiply the Numerators: 74×1=7474 \times 1 = 74
  • Multiply the Denominators: 42×4=16842 \times 4 = 168
  • Form the New Fraction: 7442×41=74168\frac{74}{42} \times \frac{4}{1} = \frac{74}{168}

Let's Simplify 74168\frac{74}{168}

  • Find the Greatest Common Divisor (GCD) of 7474 and 168168. The GCD of 7474 and 168168 is 22.
  • Divide both the numerator and the denominator by the GCD:74÷2168÷2=3784\frac{74 \div 2}{168 \div 2} = \frac{37}{84}

Answer 7442÷41=3784\frac{74}{42}\div\frac{4}{1} = \frac{37}{84}


The following animation demonstrates the divide-by,

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