We have to do the following operation:
[tex]1\frac{1}{2}/\frac{1}{4}[/tex]First, we will convert the mixed number to a fraction. For converting it, we multiply the integer by the denominator, and add it to the numerator. The denominator of the fraction remains the same:
[tex]1\frac{1}{2}=\frac{1\cdot2+1}{2}=\frac{3}{2}[/tex]And now, we operate, remembering that for doing a division of fractions, we multiply the dividend by the inverse of the divisor, thus:
[tex]\frac{3}{2}/\frac{1}{4}=\frac{3}{2}\cdot\frac{4}{1}=\frac{12}{2}=6[/tex]This means that the result of the operation is 6.
