What is 19/72 Divided By 3/4

Answer: 1972÷34\frac{19}{72}\div\frac{3}{4} = 1954\frac{19}{54}

Solving 1972÷34\frac{19}{72}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1972÷34=1972×43\frac{19}{72} \div \frac{3}{4} = \frac{19}{72} \times \frac{4}{3}

  • Multiply the Numerators: 19×4=7619 \times 4 = 76
  • Multiply the Denominators: 72×3=21672 \times 3 = 216
  • Form the New Fraction: 1972×34=76216\frac{19}{72} \times \frac{3}{4} = \frac{76}{216}

Let's Simplify 76216\frac{76}{216}

  • Find the Greatest Common Divisor (GCD) of 7676 and 216216. The GCD of 7676 and 216216 is 44.
  • Divide both the numerator and the denominator by the GCD:76÷4216÷4=1954\frac{76 \div 4}{216 \div 4} = \frac{19}{54}

Answer 1972÷34=1954\frac{19}{72}\div\frac{3}{4} = \frac{19}{54}


The following animation demonstrates the divide-by,

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