QUESTION 1 1.1 State whether each of the following numbers are rational, irrational or neither \( 1.1 .1 \sqrt{2 \frac{2}{2}} \) \( 1.1 .2 \frac{\pi}{4} \) 1.1 .387 1.2 Write 0.32 in the form of \( \frac{a}{b} \), where \( a \) and \( b \) are integers. Show all your workings

The number \( \sqrt{2 \frac{2}{2}} \) simplifies to \( \sqrt{2} \), which is an irrational number. Next, \( \frac{\pi}{4} \) is also irrational because \( \pi \) is not expressible as a fraction of two integers. The number \( 1.1 .387 \) (interpreting it as 0.387) is a rational number since it can be expressed as the fraction \( \frac{387}{1000} \). To express 0.32 as a fraction \( \frac{a}{b} \), note that 0.32 means 32 hundredths. Thus, it can be written as \( \frac{32}{100} \). You can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4: \[ \frac{32 \div 4}{100 \div 4} = \frac{8}{25} \] So, \( 0.32 = \frac{8}{25} \).