What is 19/28 Divided By 9/7

Answer: 1928÷97\frac{19}{28}\div\frac{9}{7} = 1936\frac{19}{36}

Solving 1928÷97\frac{19}{28}\div\frac{9}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1928÷97=1928×79\frac{19}{28} \div \frac{9}{7} = \frac{19}{28} \times \frac{7}{9}

  • Multiply the Numerators: 19×7=13319 \times 7 = 133
  • Multiply the Denominators: 28×9=25228 \times 9 = 252
  • Form the New Fraction: 1928×97=133252\frac{19}{28} \times \frac{9}{7} = \frac{133}{252}

Let's Simplify 133252\frac{133}{252}

  • Find the Greatest Common Divisor (GCD) of 133133 and 252252. The GCD of 133133 and 252252 is 77.
  • Divide both the numerator and the denominator by the GCD:133÷7252÷7=1936\frac{133 \div 7}{252 \div 7} = \frac{19}{36}

Answer 1928÷97=1936\frac{19}{28}\div\frac{9}{7} = \frac{19}{36}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!