Question

Gill wears a device that counts the number of steps she takes every day. One day she did one-fifteenth of her steps before breakfast, a further half walking into town and another one-tenth walking around the supermarket. a What fraction of her steps were not taken yet? b That day the device recorded 12 000 steps. How many steps were not taken yet?

Please help.This is urgent

Answer 1

Answer:

a = 1/3; b=4,000

Step-by-step explanation:

First of all, we will add the fractions to get the total fraction of steps walked.

$\frac{1}{15}$ + $\frac{1}{2}$ + $\frac{1}{10}$

We will take the HCF of 15, 2 and 10, which is 30

Now modifying the fractions, $\frac{2}{30}$ + $\frac{15}{30}$ + $\frac{3}{30}$ = $\frac{20}{30}$ or $\frac{2}{3}$

a)  What fraction of her steps were not taken yet?

As we know that Gill walked two-thirds of her total no. of steps, we can easily take out the fraction of her steps not taken

$\frac{3}{3}$ - $\frac{2}{3}$ = $\frac{1}{3}$

Hence, Gill had not taken one-third of her steps

b) That day the device recorded 12 000 steps. How many steps were not taken yet?

If the total steps are 12,000 and we know that she did not take 1/3 of her steps we can easily calculate that as well

12000 x $\frac{1}{3}$ = 4,000

Hence, Gill had not taken 4,000 steps yet if the total no. of steps is 12,000

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