We need to DIVIDE the 10 foot board into 1 2/3 ft pieces...
10 ÷ 1 2/3
convert 1 2/3 to an improper fraction..
1 2/3 = 5/3
so now we have
10 ÷ 5/3
divide fractions by multiplying the reciprocal of the divisor.
10 ÷ 5/3 =
10 × 3/5 =
30/5 =
6
She can cut 6 pieces.