Question

The decimal expansion of 27/120

will terminate after ________decimal places.

Answer 1

Answer:

The decimal expansion of 27/120

will terminate after ________decimal places.

Answer 2

The decimal expansion of 27/120 will terminate after 3 decimal places.

Given: The fraction 27/120

To find: Places after which decimal expansion terminates

Solution:

Given fraction = 27/120

Simplifying the fraction, we have

×$\frac{27}{120} = \frac{3}{40}$

⇒ Multiplying numerator and denominator by 25, we get

$\frac{3}{40} = \frac{75}{1000}$

writing 75/1000 in decimal form, we get

75/1000 = 0.075

⇒ number of digits to the right of decimal point = 3

⇒ The decimal expansion of 27/120 will terminate after 3 decimal places. Answer

SPJ2