QuestionIf you sleep 6 hours daily for a year (365 days), how many days is that as a mixed number? Simplify your answer.

Studdy Solution

STEP 1

Assumptions1. Sleeping6 hours a day is equivalent to sleeping $\frac{1}{4}$ of every day. . There are365 days in a year.

STEP 2

We are asked to find out how many days per year you would sleep if you sleep $\frac{1}{4}$ of every day. This can be calculated by multiplying the total number of days in a year by the fraction of the day that you sleep.
$Sleeping\, days\, per\, year = Total\, days\, in\, a\, year \\times Fraction\, of\, the\, day\, slept$

STEP 3

Now, plug in the given values for the total number of days in a year and the fraction of the day that you sleep to calculate the sleeping days per year.
$Sleeping\, days\, per\, year =365 \\times \frac{1}{}$

STEP 4

Calculate the sleeping days per year.
$Sleeping\, days\, per\, year =365 \\times \frac{1}{4} =91.25\, days$

STEP 5

The result is a decimal number. We need to convert it to a mixed number. To do this, we take the integer part of the decimal as the whole number and the decimal part as the fractional part.
$91.25 =91 +0.25 =91 \frac{1}{4}$ So, if you sleep hours a day every day for a year, you are sleeping $91 \frac{1}{4}$ days per year.

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