Question

When you divide 15 / 600 do you get a terminating or non-terminating number?

Answer 1

Answer:

Prime factorisationof 600 = $\tt{2^{3} \times 5^{2} \times 3}$

Prime factorisation of 15 = 5 × 3

Fraction: $\tt{\frac{5 \times 3}{2^{3} \times 5^{2} \times 3}}$

3 is cancelled from both, numerator and denominator. We get:

$\tt{\frac{5 }{2^{3} \times 5^{2} }}$

Since the denominator is in the form $\tt{2^{m} \times 5^{n}}$, therefore, it's terminating