Question

Which numbers are equivalent to 0.232 as a fraction in simplest form and as a percent?

a) 58/250; 23.2%
b) 29/125; 23.2%
c) 58/125; 23.2%
d) 29/250; 23.2%

Answer 1

The fraction equivalent to 0.232 in simplest form is 29/125, and the percent equivalent is 23.2%.

Step-by-step explanation:

To convert a decimal to a fraction, we can write the decimal as the numerator and 1 as the denominator, then simplify the fraction if possible.

1. The decimal 0.232 can be written as the fraction 232/1000.
2. Simplifying the fraction 232/1000, we can divide both the numerator and denominator by their common factor of 8 to get 29/125.

Therefore, the fraction equivalent to 0.232 in simplest form is 29/125.

To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%).

• Multiplying 0.232 by 100, we get 23.2%.

Therefore, both the fraction 29/125 and the percent 23.2% are equivalent to the decimal 0.232.