as a decimal?
3 answers
To convert the mixed number \( 6 \frac{10}{11} \) to a decimal, you can follow these steps:
Convert the fractional part \( \frac{10}{11} \) to a decimal. Divide 10 by 11: \[ 10 \div 11 \approx 0.9091 \text{ (repeating)} \]
Now, add this decimal to the whole number part \( 6 \): \[ 6 + 0.9091 \approx 6.9091 \]
Therefore, \( 6 \frac{10}{11} \) as a decimal is approximately \( 6.9091 \).
To convert the decimal \( 0.13 \) to a fraction, follow these steps:
Write the decimal as a fraction: Since \( 0.13 \) has two decimal places, you can write it over \( 100 \) (which is \( 10^2 \)): \[ 0.13 = \frac{13}{100} \]
Simplify the fraction (if possible): In this case, \( 13 \) is a prime number, and \( 100 \) is composed of the factors \( 2^2 \) and \( 5^2 \). Since \( 13 \) does not have any common factors with \( 100 \), \( \frac{13}{100} \) is already in its simplest form.
Thus, \( 0.13 \) as a fraction is: \[ \frac{13}{100} \]
