You have to calculate:
[tex]\frac{3}{8}\div\frac{5}{8}[/tex]To divide two fractions you have to determine the reciprocal fraction of the divisor, to do so, invert the numerator and denominator:
[tex]\frac{5}{8}\to\frac{8}{5}[/tex]Then multiply the dividend by the reciprocal fraction:
[tex]\frac{3}{8}\cdot\frac{8}{5}=\frac{3\cdot8}{8\cdot5}=\frac{24}{40}[/tex]Finally, you have to simplify the result, both "24" and "40 are divisible by 8, so to simplify the result you have to divide the numerator and denominator by 8:
[tex]\frac{24\div8}{40\div8}=\frac{3}{5}[/tex]The result of the division is 3/5
