Kavya multiplies 7/8 (a terminating decimal) by 1/3 (a recurring decimal). What is the product 7/24, and what type of decimal is it? (Factorise 24.)

Question

Accepted Answer

7/24; recurring because 24 = 2^3 × 3. 7/8 × 1/3 = 7/24. 24 = 2^3 × 3 contains the prime 3, so 7/24 = 0.29166... is non-terminating recurring.

Kavya multiplies $\frac{7}{8}$ (a terminating decimal) by $\frac{1}{3}$ (a recurring decimal).
What is the product $\frac{7}{24}$ , and what type of decimal is it?
(Factorise 24.)