Question

convert 11.3% to a fraction in simplest form and a decimal.
answer
fraction:
decimal (edit the repeating and non - repeating part):
0.

Explanation:

Step1: Convert percentage to fraction

To convert a percentage to a fraction, we divide by 100. So, \(11.3\%=\frac{11.3}{100}\). Since there is one decimal place, we multiply numerator and denominator by 10 to eliminate the decimal: \(\frac{11.3\times10}{100\times10}=\frac{113}{1000}\). The fraction \(\frac{113}{1000}\) is in simplest form because 113 is a prime number and does not divide 1000.

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide by 100. So, \(11.3\% = 11.3\div100 = 0.113\). There is no repeating part here as it is a terminating decimal.

Answer:

Fraction: \(\frac{113}{1000}\)
Decimal: \(0.113\) (non - repeating part is \(113\), no repeating part)