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Short answer: 2/3

Why?

When dividing two fractions, you don't divide, you find the reciprocal of the second fraction (9/10) and multiply. So, it's 3*10/9*5. Simplify. {3 * 10 => 30} ~ {9 * 5 => 45} Now we have 30/45. This can be simplified. Simplified, 30/45 reduces down to 2/3.

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The quotient of 3/5 and 9/10 is the value obtained by dividing both values, Hence, the quotient of the division is 2/3

  • The numerator = 3/5

  • The denominator = 9/10

The division operation can be expressed thus :

3/5 ÷ 9/10

Take the reciprocal of the denominator and change the sign to multiplication ;

Reciprocal of 9/10 = 10/9

Hence, we have ;

3/5 × 10/9 = 30/45

  • In simplest form ; 30/45 = 10/15 = 2/3

Therefore, the quotient is 2/3

Learn more : https://brainly.com/question/18112348

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