What is 28/12 Divided By 9/7

Answer: 2812÷97\frac{28}{12}\div\frac{9}{7} = 4927\frac{49}{27}

Solving 2812÷97\frac{28}{12}\div\frac{9}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2812÷97=2812×79\frac{28}{12} \div \frac{9}{7} = \frac{28}{12} \times \frac{7}{9}

  • Multiply the Numerators: 28×7=19628 \times 7 = 196
  • Multiply the Denominators: 12×9=10812 \times 9 = 108
  • Form the New Fraction: 2812×97=196108\frac{28}{12} \times \frac{9}{7} = \frac{196}{108}

Let's Simplify 196108\frac{196}{108}

  • Find the Greatest Common Divisor (GCD) of 196196 and 108108. The GCD of 196196 and 108108 is 44.
  • Divide both the numerator and the denominator by the GCD:196÷4108÷4=4927\frac{196 \div 4}{108 \div 4} = \frac{49}{27}

Answer 2812÷97=4927\frac{28}{12}\div\frac{9}{7} = \frac{49}{27}


The following animation demonstrates the divide-by,

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