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Math

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PROBLEM

Convert the following to decimals:
a. An insect's body length is about 116\frac{1}{16} inch.
b. A planet orbits its sun every 464+3910,000464 + \frac{39}{10,000} days.

STEP 1

Assumptions1. The body length of the insect is one sixteenth of an inch.
. The planet orbits its sun once every464 and 3910,000\frac{39}{10,000} days.
3. We need to convert these fractions to decimal form.

STEP 2

To convert a fraction to a decimal, we divide the numerator by the denominator.
For the insect's body length, we have116\frac{1}{16}

STEP 3

Perform the division to convert the fraction to a decimal.
116=0.0625\frac{1}{16} =0.0625

STEP 4

So, the body length of the insect is0.062 inches.
For the planet's orbit duration, we have464+3910,000464 + \frac{39}{10,000}

STEP 5

First, convert the fraction 3910,000\frac{39}{10,000} to a decimal by dividing the numerator by the denominator.
3910,000=0.0039\frac{39}{10,000} =0.0039

SOLUTION

Now, add this decimal to464 to get the total number of days.
464+0.0039=464.0039464 +0.0039 =464.0039So, the planet orbits its sun once every464.0039 days.

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