Do 24/30, which is 0.8. Convert this to a percentage
==============> 80%
Multiplying fractions is just multiplying the numerators together and the denominators together.
![\sf\dfrac{4}{7}\times\dfrac{1}{4}\rightarrow\dfrac{4\times 1}{7\times 4}\rightarrow\dfrac{4}{28}\rightarrow\dfrac{1}{7}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B4%7D%7B7%7D%5Ctimes%5Cdfrac%7B1%7D%7B4%7D%5Crightarrow%5Cdfrac%7B4%5Ctimes%201%7D%7B7%5Ctimes%204%7D%5Crightarrow%5Cdfrac%7B4%7D%7B28%7D%5Crightarrow%5Cdfrac%7B1%7D%7B7%7D)
![\sf\dfrac{4}{7}\times\dfrac{1}{6}\rightarrow\dfrac{4\times 1}{7\times 6}\rightarrow\dfrac{4}{42}\rightarrow\dfrac{2}{21}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B4%7D%7B7%7D%5Ctimes%5Cdfrac%7B1%7D%7B6%7D%5Crightarrow%5Cdfrac%7B4%5Ctimes%201%7D%7B7%5Ctimes%206%7D%5Crightarrow%5Cdfrac%7B4%7D%7B42%7D%5Crightarrow%5Cdfrac%7B2%7D%7B21%7D)
To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:
![\sf\dfrac{1}{7}\rightarrow\dfrac{1\times 3}{7 \times 3}\rightarrow\dfrac{3}{21}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B1%7D%7B7%7D%5Crightarrow%5Cdfrac%7B1%5Ctimes%203%7D%7B7%20%5Ctimes%203%7D%5Crightarrow%5Cdfrac%7B3%7D%7B21%7D)
Now just compare the numerators to see which one is bigger.
![\sf\dfrac{3}{21}>\dfrac{2}{21}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B3%7D%7B21%7D%3E%5Cdfrac%7B2%7D%7B21%7D)
therefore,
You already have the right Answer which is b