1. a) Write 15 minutes as a fraction of \( 1 \frac{1}{2} \) hours. b) Write 35 metres as a fraction of 105 metres.

To convert 15 minutes into hours, we know that 1 hour has 60 minutes. So, 15 minutes is \( \frac{15}{60} = \frac{1}{4} \) hours. Now, since \( 1 \frac{1}{2} \) hours is the same as \( 1.5 \) hours, we can express it as a fraction: \( \frac{1/4}{3/2} \). Simplifying this, we get \( \frac{1}{4} \times \frac{2}{3} = \frac{2}{12} = \frac{1}{6} \). For the second part, writing 35 metres as a fraction of 105 metres gives us \( \frac{35}{105} \). Simplifying this fraction, we can divide both the numerator and the denominator by 35: \( \frac{35 \div 35}{105 \div 35} = \frac{1}{3} \). So, 15 minutes is \( \frac{1}{6} \) of \( 1 \frac{1}{2} \) hours, and 35 metres is \( \frac{1}{3} \) of 105 metres.