High School

What is \(-\frac{5}{8} \div \frac{9}{10} = \frac{-20}{30} \div \frac{18}{20}\)?

What is the quotient? Enter your answer as a simplified fraction in the box.

Answer :

Final answer:

To solve -5/8 ÷ 9/10 and -2030 ÷ 1820, we need to multiply by the reciprocal and simplify the fractions.

Explanation:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, -5/8 ÷ 9/10 can be written as (-5/8) * (10/9). We can simplify this by multiplying the numerators (-5 * 10 = -50) and the denominators (8 * 9 = 72) to get -50/72. We can further simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. So the final result is -25/36.

Similarly, to divide -2030 by 1820, we can write it as (-2030) * (1/1820). By multiplying the numerators (-2030 * 1 = -2030) and the denominators (1 * 1820 = 1820), we get -2030/1820. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 10. So the final result is -203/182.

Learn more about Dividing fractions here:

https://brainly.com/question/18511795

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