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QuestionCalculate 132lim⁡miles 80458\frac{132 \lim _{\text {miles }}}{80 \frac{45}{8}}.

Studdy Solution

STEP 1

Assumptions1. The given expression is 132 miles80458\frac{132 \text{ miles}}{80 \frac{45}{8}} . We need to simplify this expression

STEP 2

First, we need to simplify the denominator. The denominator is a mixed number, which is a whole number and a fraction combined. We can convert this to an improper fraction.
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
The formula to convert a mixed number to an improper fraction isImproper fraction=Whole number×Denominator+umerator\text{Improper fraction} = \text{Whole number} \times \text{Denominator} + \text{umerator}

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
Improper fraction=80×8+45\text{Improper fraction} =80 \times8 +45

STEP 4

Calculate the improper fraction.
Improper fraction=80×8+45=685\text{Improper fraction} =80 \times8 +45 =685

STEP 5

Now that we have the improper fraction, we can simplify the original expression by replacing the mixed number in the denominator with the improper fraction.
132 miles685\frac{132 \text{ miles}}{685}

STEP 6

This fraction can be simplified further by dividing the numerator by the denominator.
132 miles685=0.192 miles\frac{132 \text{ miles}}{685} =0.192 \text{ miles}So, the simplified form of the given expression is 0.1920.192 miles.

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