Product of fractions

Find the product of these mixed numbers

Age

11 to 14

Challenge level

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving

Being curious Being resourceful Being resilient Being collaborative

Problem

Can you find an efficient way of calculating the product below, without using a calculator?

1 \frac{2}{3} \times 1.8 \times 1 \frac{1}{7} \times 1.75 \times 1 \frac{5}{6}

This problem is taken from the World Mathematics Championships