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Fractions, Decimals & Percents Task Card #8

If you weighed 92 pounds on Earth, you would weigh 97.8 pounds on Saturn. Write the weight on Saturn as a mixed number in simplest form.

Answer :

Final answer:

To write the weight on Saturn as a mixed number in simplest form, we can set up a proportion and solve for x. The weight on Saturn is 1.06304 pounds, which can be expressed as the fraction 158/2500.


Explanation:

To write the weight on Saturn as a mixed number in simplest form, we need to convert the weights given into fractions. We can set up a proportion to solve for the weight on Saturn. Since the weight on Earth is 92 pounds and the weight on Saturn is 97.8 pounds, we can set up the proportion 92/1 = 97.8/x. Cross-multiplying gives us 92x = 97.8, and dividing both sides by 92 gives us x = 1.06304. We can rewrite this decimal as a mixed number by subtracting the whole number part, which is 1, from the decimal part, yielding 0.06304.


Since 0.06304 is less than 1, we can express it as a fraction over 1. Multiplying the decimal by a power of 10 to remove the decimal places gives us 63.04/1000. Simplifying the fraction yields 158/2500, and this is the weight on Saturn as a mixed number in simplest form.



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