6. An electrician needs \( \frac{3}{4} \) roll of electrical wire to wire each roam in a house How many rooms can he wire with 6 rolls of wire?

With 6 rolls of electrical wire, we first need to determine how many times \( \frac{3}{4} \) fits into 6. To find this, we can divide 6 by \( \frac{3}{4} \), which is the same as multiplying by the reciprocal: \[ 6 \div \frac{3}{4} = 6 \times \frac{4}{3} = 8. \] So, the electrician can wire 8 rooms with 6 rolls of wire! To double-check, we can calculate how much wire is used for 8 rooms: \[ 8 \times \frac{3}{4} = 6 \text{ rolls.} \] This shows our calculation is correct!