5.875 as a mixed fraction

1 answer

To convert the decimal 5.875 into a mixed fraction, follow these steps:

  1. Identify the whole number part: The whole number part is 5.

  2. Convert the decimal part into a fraction: The decimal part is 0.875. To convert 0.875 into a fraction, recognize that 0.875 can be expressed as:

    \[ 0.875 = \frac{875}{1000} \]

  3. Simplify the fraction: Next, simplify \(\frac{875}{1000}\). Both the numerator and the denominator can be divided by 125:

    \[ \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} \]

  4. Combine the whole number with the fraction: Now, write the mixed fraction by combining the whole number with the simplified fraction:

    \[ 5.875 = 5 \frac{7}{8} \]

So, \(5.875\) as a mixed fraction is:

\[ 5 \frac{7}{8} \]