Answer :

Evaluate the value of the expression:

[tex]3\frac{1}{4}-1\frac{7}{8}[/tex]

Step 1: The mixed fraction will be converted to improper fraction

[tex]\begin{gathered} 3\frac{1}{4}-1\frac{7}{8} \\ =\frac{3\times4+1}{4}-\frac{1\times8+7}{8} \\ =\frac{12+1}{4}-\frac{8+7}{8} \\ =\frac{13}{4}-\frac{15}{8} \end{gathered}[/tex]

Step 2: The denominator of 8 will be used as the L.C.M, since it's the greatest of the two

[tex]\begin{gathered} \frac{13}{4}-\frac{15}{8} \\ =\frac{26-15}{8} \\ =\frac{11}{8} \\ =1\frac{3}{8} \end{gathered}[/tex]

Hence the correct answer = 1 3/8

[tex]1\frac{3}{8}[/tex]