Solved on Sep 22, 2023

A construction crew built $2 \frac{1}{4}$ km of road per day for 14 days. Find the total length of road built.

STEP 1

Assumptions1. The construction crew worked for14 days. . They built $\frac{1}{4}$ kilometers of road each day.
3. We need to find the total length of road built.

STEP 2

First, we need to convert the mixed number $2 \frac{1}{4}$ to an improper fraction to make the calculation easier.
$2 \frac{1}{4} = \frac{9}{4}$

STEP 3

Now, we can find the total length of road built by multiplying the length built each day by the number of days they worked.
$Total\, length = Length\, per\, day \\times Number\, of\, days$

STEP 4

Plug in the given values for the length per day and the number of days to calculate the total length.
$Total\, length = \frac{9}{4} \\times14$

STEP 5

Calculate the total length of road built.
$Total\, length = \frac{9}{4} \\times14 = \frac{126}{4}$

STEP 6

implify the fraction to find the total length in simplest form.
$Total\, length = \frac{126}{4} =31 \frac{1}{2}$ The construction crew built31 $\frac{1}{2}$ kilometers of road.

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A construction crew built $2 \frac{1}{4}$ km of road per day for 14 days. Find the total length of road built.

STEP 1

Assumptions1. The construction crew worked for14 days. . They built $\frac{1}{4}$ kilometers of road each day.
3. We need to find the total length of road built.

STEP 2

First, we need to convert the mixed number $2 \frac{1}{4}$ to an improper fraction to make the calculation easier.
$2 \frac{1}{4} = \frac{9}{4}$

STEP 3

Now, we can find the total length of road built by multiplying the length built each day by the number of days they worked.
$Total\, length = Length\, per\, day \\times Number\, of\, days$

STEP 4

Plug in the given values for the length per day and the number of days to calculate the total length.
$Total\, length = \frac{9}{4} \\times14$

STEP 5

Calculate the total length of road built.
$Total\, length = \frac{9}{4} \\times14 = \frac{126}{4}$

STEP 6

implify the fraction to find the total length in simplest form.
$Total\, length = \frac{126}{4} =31 \frac{1}{2}$ The construction crew built31 $\frac{1}{2}$ kilometers of road.

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A construction crew built 2142 \frac{1}{4}241​ km of road per day for 14 days. Find the total length of road built.

STEP 1

Assumptions1. The construction crew worked for14 days. . They built 14 \frac{1}{4}41​ kilometers of road each day.3. We need to find the total length of road built.

STEP 2

First, we need to convert the mixed number 2142 \frac{1}{4}241​ to an improper fraction to make the calculation easier.214=942 \frac{1}{4} = \frac{9}{4}241​=49​

STEP 3

Now, we can find the total length of road built by multiplying the length built each day by the number of days they worked.Total length=Length per daytimesNumber of daysTotal\, length = Length\, per\, day \\times Number\, of\, daysTotallength=LengthperdaytimesNumberofdays

STEP 4

Plug in the given values for the length per day and the number of days to calculate the total length.Total length=94times14Total\, length = \frac{9}{4} \\times14Totallength=49​times14

STEP 5

Calculate the total length of road built.Total length=94times14=1264Total\, length = \frac{9}{4} \\times14 = \frac{126}{4}Totallength=49​times14=4126​

STEP 6

implify the fraction to find the total length in simplest form.Total length=1264=3112Total\, length = \frac{126}{4} =31 \frac{1}{2}Totallength=4126​=3121​The construction crew built31 12\frac{1}{2}21​ kilometers of road.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

A construction crew built $2 \frac{1}{4}$ km of road per day for 14 days. Find the total length of road built.

Assumptions1. The construction crew worked for14 days. . They built $\frac{1}{4}$ kilometers of road each day.
3. We need to find the total length of road built.

First, we need to convert the mixed number $2 \frac{1}{4}$ to an improper fraction to make the calculation easier.
$2 \frac{1}{4} = \frac{9}{4}$

Now, we can find the total length of road built by multiplying the length built each day by the number of days they worked.
$Total\, length = Length\, per\, day \\times Number\, of\, days$

Plug in the given values for the length per day and the number of days to calculate the total length.
$Total\, length = \frac{9}{4} \\times14$

Calculate the total length of road built.
$Total\, length = \frac{9}{4} \\times14 = \frac{126}{4}$

implify the fraction to find the total length in simplest form.
$Total\, length = \frac{126}{4} =31 \frac{1}{2}$ The construction crew built31 $\frac{1}{2}$ kilometers of road.