Question
negative 9 over positive 4 + 3 over -7
Answers
GPT 3.5
To simplify this expression, we first need to find a common denominator for both fractions. The common denominator for 4 and -7 is 28 (4*7=28).
Now we can rewrite the expression as:
(-9/4) + (3/-7)
To get rid of the denominators, we can multiply the numerator and denominator of each fraction by the denominator of the other fraction:
((-9)(-7) + (3)(4)) / (4 * -7)
Simplifying further:
(63 + 12) / -28
75 / -28
Finally, we have the simplified expression:
-75/28
Now we can rewrite the expression as:
(-9/4) + (3/-7)
To get rid of the denominators, we can multiply the numerator and denominator of each fraction by the denominator of the other fraction:
((-9)(-7) + (3)(4)) / (4 * -7)
Simplifying further:
(63 + 12) / -28
75 / -28
Finally, we have the simplified expression:
-75/28
mathz
The volume of 10,000 drops of a liquid is 100 fluid ounces.
What is the volume of 10 drops?
What is the volume of 10 drops?
GPT 3.5
To find the volume of 10 drops, we can set up a proportion using the given information:
Volume of 10,000 drops / Volume of 10 drops = Total volume / Volume of 10 drops
Plugging in the values we know:
100 fluid ounces / 10,000 drops = Total volume / 10 drops
Now we can solve for the total volume:
Total volume = (100 fluid ounces / 10,000 drops) * 10 drops
Simplifying:
Total volume = (100 / 10,000) * 10
Total volume = 0.01 * 10
Total volume = 0.1 fluid ounces
Therefore, the volume of 10 drops would be 0.1 fluid ounces.
Volume of 10,000 drops / Volume of 10 drops = Total volume / Volume of 10 drops
Plugging in the values we know:
100 fluid ounces / 10,000 drops = Total volume / 10 drops
Now we can solve for the total volume:
Total volume = (100 fluid ounces / 10,000 drops) * 10 drops
Simplifying:
Total volume = (100 / 10,000) * 10
Total volume = 0.01 * 10
Total volume = 0.1 fluid ounces
Therefore, the volume of 10 drops would be 0.1 fluid ounces.