Question

5.875 as a mixed fraction

Answer 1

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:

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