Question

Sila jogged 12 kilometers today and wants to know how far she traveled in feet. What error did Sila make while converting from kilometers to feet?

StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet
(A). Sila put a wrong number in her calculator when multiplying the numerators.
(B).Sila’s first fraction should be StartFraction 1 kilometer Over 0.62 miles EndFraction.
(C). Sila’s last fraction should be StartFraction 1 mile Over 5280 feet EndFraction.
(D). Sila forgot to divide by 0.62.

Answer 1

Given : Sila jogged 12 kilometers today and wants to know how far she traveled in feet.

$\dfrac{12 ~km}{1}\times\dfrac{0.62 ~miles}{1 ~km}\times \dfrac{5280 ~feet}{1 ~mile}$

To Find : What error did Sila make while converting from kilometers to feet?

(A). Sila put a wrong number in her calculator when multiplying the numerators.

(B). Sila’s first fraction should be  $\dfrac{1 ~km}{0.62 ~miles}$

(C). Sila’s last fraction should be $\dfrac{1 ~miles}{5280 ~feet}$

(D). Sila forgot to divide by 0.62.

Solution:

Process used by sila:

$\dfrac{12 ~km}{1}\times\dfrac{0.62 ~miles}{1 ~km}\times \dfrac{5280 ~feet}{1 ~mile}$

She convert km into  miles  by multiplying 0.62 miles per km

then converted miles into feet  by multiplying 5280 ft  per mile

So there is no mistake in her process

Here result should have been : 39,283.2  feet

But sila got 392,832

Hence  Sila put a wrong number in her calculator when multiplying the numerators.

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