Question 1
Simplify the ratio \( 2 \) hours to \( 30 \) minutes.
\( \begin{align} 2 \text{ hours} : 30 \text{ minutes} &= 2 \times 60 \text{ minutes} : 30 \text{ minutes} \\ &= 120 : 30 \\ &= 4 : 1 \end{align} \)
Question 2
Simplify the ratio \( 50 \) cm to \( 3 \) m.
\( \begin{align} 50 \text{ cm} : 3 \text{ m} &= 50 \text{ cm} : 3 \times 100 \text{ cm} \\ &= 50 : 300 \\ &= 1 : 6 \end{align} \)
Question 3
Simplify the ratio \( 6 \) days to \( 3 \) weeks.
\( \begin{align} 6 \text{ days} : 3 \text{ weeks} &= 6 \text{ days} : 3 \times 7 \text{ days} \\ &= 6 : 21 \\ &= 2 : 7 \end{align} \)
Question 4
Simplify the ratio \( 200 \) g to \( 1.5 \) kg.
\( \begin{align} 200 \text{ g} : 1.5 \text{ kg} &= 200 \text{ g} : 1.5 \times 1000 \text{ g} \\ &= 200 : 1500 \\ &= 2 : 15 \end{align} \)
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