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Answer :

Given the following expression:

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

To subtract the numbers, we need to convert the mixed number to a fraction number

[tex]1\frac{3}{8}=\frac{8*1+3}{8}=\frac{11}{8}[/tex]

And then, we need to make both fractions have the same denominator

The common denominator for 4 and 8 will be 8

[tex]\begin{gathered} \frac{11}{8}=\frac{11}{8} \\ \\ \frac{3}{4}=\frac{3*2}{4*2}=\frac{6}{8} \end{gathered}[/tex]

So, the subtraction process will be as follows:

[tex]1\frac{3}{8}-\frac{3}{4}=\frac{11}{8}-\frac{6}{8}=\frac{11-6}{8}=\frac{5}{8}[/tex]

So, the answer will be 5/8