Math

QuestionConvert 47,778 inches to miles using: 1mi=1760yd,1yd=3ft,1ft=12in1 \mathrm{mi}=1760 \mathrm{yd}, 1 \mathrm{yd}=3 \mathrm{ft}, 1 \mathrm{ft}=12 \mathrm{in}.

Studdy Solution

STEP 1

Assumptions1. There are12 inches in1 foot. There are3 feet in1 yard3. There are1760 yards in1 mile4. We need to convert47,778 inches to miles

STEP 2

First, we need to convert inches to feet. We can do this by dividing the number of inches by the number of inches in a foot.
Feet=Inches/12Feet = Inches /12

STEP 3

Now, plug in the given value for inches to calculate the number of feet.
Feet=47,778/12Feet =47,778 /12

STEP 4

Calculate the number of feet.
Feet=47,778/12=3,981.Feet =47,778 /12 =3,981.

STEP 5

Next, we need to convert feet to yards. We can do this by dividing the number of feet by the number of feet in a yard.
Yards=Feet/3Yards = Feet /3

STEP 6

Now, plug in the calculated value for feet to calculate the number of yards.
Yards=3,981.5/3Yards =3,981.5 /3

STEP 7

Calculate the number of yards.
Yards=3,981.5/3=1,327.17Yards =3,981.5 /3 =1,327.17

STEP 8

Finally, we need to convert yards to miles. We can do this by dividing the number of yards by the number of yards in a mile.
Miles=Yards/1760Miles = Yards /1760

STEP 9

Now, plug in the calculated value for yards to calculate the number of miles.
Miles=,327.17/176Miles =,327.17 /176

STEP 10

Calculate the number of miles.
Miles=,327.17/1760=0.75Miles =,327.17 /1760 =0.75The length of47,778 inches is approximately0.75 miles.

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