QuestionJenny drove $\frac{3}{5}$ of the 469-mile Blue Ridge Parkway. How many miles did she drive as a mixed number?

Studdy Solution

STEP 1

Assumptions1. The total length of the Blue Ridge Parkway is469 miles. . Jenny drove $\frac{3}{5}$ of the total length of the parkway.

STEP 2

We need to find the distance Jenny drove. This can be done by multiplying the total length of the parkway by the fraction of the parkway Jenny drove.
$Distance\, driven = Total\, length \\times Fraction\, driven$

STEP 3

Now, plug in the given values for the total length and the fraction driven to calculate the distance driven.
$Distance\, driven =469\, miles \\times \frac{3}{5}$

STEP 4

Calculate the distance driven.
$Distance\, driven =469\, miles \\times \frac{3}{} =281.4\, miles$

STEP 5

The question asks for the answer in the form of a mixed number. To convert the decimal to a mixed number, we need to identify the whole number part and the fractional part of the decimal.
The whole number part is281 and the fractional part is0.4.

STEP 6

To convert the fractional part to a fraction, we write it over the number1 followed by as many zeroes as there are digits after the decimal point. $0.4 = \frac{4}{10}$

STEP 7

implify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is2.
$\frac{4}{10} = \frac{2}{5}$

STEP 8

Now, combine the whole number part and the fractional part to form the mixed number.
$281.4 =281 \frac{2}{5}$ Jenny drove $281 \frac{2}{5}$ miles.

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