To evaluate a fractional expression using equivalent fractions:
Step 1: Find the LCM of the numbers in the denominator
Step 2: Multiply the numbers that will make the denominator to equal the LCM to both the numerator and the denominator
Applying these steps to the fractional expression given in this question:
[tex]\begin{gathered} \frac{7}{6}-\frac{4}{5} \\ \text{The LCM of 6 and 5 = 30} \\ \text{To ensure that the denominator of }\frac{7}{6}is\text{ 30, multiply the denominator} \\ \text{and the numerator by 5} \\ \frac{7}{6}=\text{ }\frac{7\times5}{6\times5}=\text{ }\frac{35}{30} \\ \text{To ensure that the denominator of }\frac{4}{5}is\text{ 30, multiply the denominator} \\ \text{and the numerator by 6} \\ \frac{4}{5}=\text{ }\frac{4\times6}{5\times6}=\text{ }\frac{24}{30} \end{gathered}[/tex]The fractional expression then becomes:
[tex]\frac{7}{6}-\frac{4}{5}=\frac{35}{30}-\frac{24}{30}[/tex]