To compare fractions, we need to first make common denominators. 

\(\displaystyle \frac{2}{6}\times\frac{2}{2}=\frac{4}{12}\)

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\(\displaystyle \frac{4}{12}< \frac{5}{12}\)

To compare fractions, we need to first make common denominators. 

\(\displaystyle \frac{3}{6}\times\frac{4}{4}=\frac{12}{24}\)

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

\(\displaystyle \frac{12}{24}=\frac{12}{24}\)

First convert each mixed fraction into an improper fraction. To do this, multiply the whole number by the denominator and then add it to the numerator. Then place this number of the original denominator.

\(\displaystyle 6\frac{2}{7} \div \frac{1}{4}\)

\(\displaystyle = \frac{6 \times 7+ 2}{7} \div \frac{1}{4}\)

\(\displaystyle = \frac{44}{7} \div \frac{1}{4}\)

Recall that dividing by a fraction is the same as multiplying by the reciprocal.

\(\displaystyle = \frac{44}{7} \times \frac{4}{1}\)

\(\displaystyle = \frac{44 \times 4}{7 \times 1}\)

Multiply the numerators together and the denominators together.

\(\displaystyle = \frac{176}{7 }\)

Divide:

\(\displaystyle 176 \div 7 = 25 \textrm{ R }1\),

making 25 the closest choice.

The fraction models below show \(\displaystyle \frac{1}{}4\) and \(\displaystyle \frac{2}{}4\)

\(\displaystyle \frac{2}{4}\) is greater than \(\displaystyle \frac{1}{4}\) because more of the model is filled in.               

               \(\displaystyle \frac{1}{4}< \frac{2}{4}\) 

The fraction models below show \(\displaystyle \frac{1}{}4\) and \(\displaystyle \frac{3}{}4\)

\(\displaystyle \frac{3}{4}\) is greater than \(\displaystyle \frac{1}{4}\) because more of the model is filled in.               

               \(\displaystyle \frac{1}{4}< \frac{3}{4}\)

The fraction models below show \(\displaystyle \frac{2}{4}\) and \(\displaystyle \frac{3}{}4\)

\(\displaystyle \frac{3}{4}\) is greater than \(\displaystyle \frac{2}{4}\) because more of the model is filled in.               

               \(\displaystyle \frac{2}{4}< \frac{3}{4}\) 

The fraction models below show \(\displaystyle \frac{2}{4}\) and \(\displaystyle \frac{2}{}4\)

\(\displaystyle \frac{2}{4}\) is equal to \(\displaystyle \frac{2}{4}\)               

               \(\displaystyle \frac{2}{4}=\frac{2}{4}\) 

The fraction models below show \(\displaystyle \frac{3}{4}\) and \(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{3}{4}\) is equal to \(\displaystyle \frac{3}{4}\)      

               \(\displaystyle \frac{3}{4}=\frac{3}{4}\) 

The fraction models below show \(\displaystyle \frac{2}{3}\) and \(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{2}{3}\) is greater than \(\displaystyle \frac{1}{3}\) because more of the model is filled in.               

               \(\displaystyle \frac{2}{3}>\frac{1}{3}\) 

The fraction models below show \(\displaystyle \frac{2}{6}\) and \(\displaystyle \frac{1}{6}\)

\(\displaystyle \frac{2}{6}\) is greater than \(\displaystyle \frac{1}{6}\) because more of the model is filled in.               

               \(\displaystyle \frac{2}{6}>\frac{1}{6}\)