\(\displaystyle \small \frac{1}{3}\times 10\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \small \frac{1}{3}\times \frac{10}{1}=\frac{10}{3}\)

\(\displaystyle \small \frac{3}{7}\times10\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \small \frac{3}{7}\times\frac{10}{1}=\frac{30}{7}\)

\(\displaystyle \small \frac{2}{7}\times11\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \small \frac{2}{7}\times\frac{11}{1}=\frac{22}{7}\)

\(\displaystyle \small \frac{8}{9}\times7\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle 1.\) Then we multiply like normal. 

\(\displaystyle \small \small \frac{8}{9}\times\frac{7}{1}=\frac{56}{9}\)

\(\displaystyle \small 5\times \frac{1}{3}\) __________ \(\displaystyle \small 5\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}\)

\(\displaystyle \small \frac{5}{3}=1\frac{2}{3}\) Because \(\displaystyle 3\) can go into \(\displaystyle \small 5\) only \(\displaystyle 1\) time, and \(\displaystyle \small \frac{2}{3}\) is left over. 

\(\displaystyle \small 1\frac{2}{3}\) __________ \(\displaystyle \small 5\)

\(\displaystyle \small 1\frac{2}{3}< 5\)

\(\displaystyle \small 7\times\frac{3}{4}\) __________\(\displaystyle \small 7\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{7}{1}\times\frac{3}{4}=\frac{21}{4}\)

\(\displaystyle \small \frac{21}{4}=5\frac{1}{4}\) Because \(\displaystyle \small 4\) can go into \(\displaystyle \small 21\) only \(\displaystyle \small 5\) times and \(\displaystyle \small \frac{1}{4}\) is left over. 

\(\displaystyle \small 5\frac{1}{4}< 7\)

\(\displaystyle \small 8\) __________ \(\displaystyle \small 8\times\frac{1}{5}\) 

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}\)

\(\displaystyle \small \frac{8}{5}=1\frac{3}{5}\) Because \(\displaystyle \small 5\) can go into \(\displaystyle \small 8\) only \(\displaystyle \small 1\) time and \(\displaystyle \small \frac{3}{5}\) is left over. 

\(\displaystyle \small 8>1\frac{3}{5}\)

\(\displaystyle \small 2\times\frac{1}{2}\) __________\(\displaystyle 2\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{2}{1}\times\frac{1}{2}=\frac{2}{2}\)

\(\displaystyle \small \frac{2}{2}=1\) Because \(\displaystyle 2\) can go into \(\displaystyle 2\) an even \(\displaystyle \small 1\) time. 

\(\displaystyle \small 1< 2\)

\(\displaystyle \small 9\) __________\(\displaystyle \small \small 9\times\frac{2}{3}\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{9}{1}\times\frac{2}{3}=\frac{18}{3}\)

\(\displaystyle \small \frac{18}{3}=6\) Because \(\displaystyle 3\) can go into \(\displaystyle \small 18\) and even \(\displaystyle 6\) times. 

\(\displaystyle \small 9>6\)

\(\displaystyle \small 4\times\frac{2}{9}\) __________\(\displaystyle 4\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle \small 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{4}{1}\times\frac{2}{9}=\frac{8}{9}\)

\(\displaystyle \small \frac{8}{9}< 4\)