Question

of the planets in our solar system, jupiter and neptune have the greatest surface gravity. jupiters gravitational pull is $2\frac{16}{25}$ stronger than earths, and neptunes is $1\frac{1}{5}$ stronger. what is the difference between jupiters and neptunes surface gravity levels?

Explanation:

Step1: Convert mixed numbers to improper fractions

Jupiter's gravitational pull: \(2\frac{16}{25}=\frac{2\times25 + 16}{25}=\frac{50+16}{25}=\frac{66}{25}\)
Neptune's gravitational pull: \(1\frac{1}{5}=\frac{1\times5 + 1}{5}=\frac{5 + 1}{5}=\frac{6}{5}\)

Step2: Find a common denominator and subtract

The common denominator of 25 and 5 is 25. Convert \(\frac{6}{5}\) to a fraction with denominator 25: \(\frac{6}{5}=\frac{6\times5}{5\times5}=\frac{30}{25}\)
Now subtract: \(\frac{66}{25}-\frac{30}{25}=\frac{66 - 30}{25}=\frac{36}{25}\)

Step3: Convert back to mixed number

\(\frac{36}{25}=1\frac{11}{25}\)

Answer:

\(1\frac{11}{25}\)