Home
/
Math
/
4. n Monday, Izzy takes her llama on a 2(2)/(3) km long walk. n Tuesday, they only walk (2)/(7) of the distance they walked on Monday. How many kilometres do they walk on Tuesday?

Question

4.
n Monday, Izzy takes her llama on a 2(2)/(3) km long walk.
n Tuesday, they only walk (2)/(7) of the distance they walked on Monday.
How many kilometres do they walk on Tuesday?

4. n Monday, Izzy takes her llama on a 2(2)/(3) km long walk. n Tuesday, they only walk (2)/(7) of the distance they walked on Monday. How many kilometres do they walk on Tuesday?

expert verifiedVerification of experts

Answer

4.0229 Voting
avatar
VernonProfessional · Tutor for 6 years

Answer

# Explanation<br /><br />## Step 1<br />We first convert the mixed number \(2 \frac{2}{3} \) to an improper fraction for easy computation.<br />To do this, we multiply the whole number \(2\) by the denominator \(3\) of the fractional part and then add the numerator \(2\). This gives us the new numerator of our fraction. The denominator remains the same.<br /><br />### \(2 \frac{2}{3}=\frac {(2 \times 3)+ 2}{3}= \frac{8}{3}\) <br /><br />## Step 2<br />To find how many kilometres Izzy and her llama walked on Tuesday, we now need to multiply the distance they walked on Monday (expressed as the improper fraction \(\frac{8}{3}\)) by the fractional part of the distance they covered on Tuesday \(\frac{2}{7}\).<br /><br />### \(\frac{8}{3}*\frac{2}{7}= \frac{8*2}{3*7}= \frac{16}{21}\) <br /><br />This fraction can't be simplified any further. So, the answer in kilometers (expressed in fraction) they walked on Tuesday will be \(\frac{16}{21}\).<br /><br /># Answer<br /><br />Izzy and her llama take a \(\frac{16}{21} \mathrm{~km}\) long walk on Tuesday.
Click to rate:

Hot Questions

More x