Final answer:
Bev initially has 3/8 metres of fabric and uses 1/4 of it, resulting in 9/32 metres of fabric remaining. The calculation requires finding a common denominator and subtraction of fractions.
Step-by-step explanation:
Bev has 3/8 metres of fabric. When she uses one quarter of it, we must calculate 1/4 of 3/8 to find out how much fabric she used. To do this, multiply the two fractions:
1/4 × 3/8 = 3/32 metres (this is the amount of fabric used)
Now, subtract this amount from the original fabric length to find out how much she has left:
3/8 - 3/32 = 9/32 metres (after finding a common denominator and subtracting)
So, Bev has 9/32 metres of fabric left after mending the dress.