To convert the mixed number [tex]\(1 \frac{7}{8}\)[/tex] into its decimal equivalent, follow these steps:
1. Identify the whole number and the fractional part:
- The whole number part is [tex]\(1\)[/tex].
- The fractional part is [tex]\(\frac{7}{8}\)[/tex].
2. Convert the fractional part to a decimal:
- To do this, divide the numerator by the denominator.
- [tex]\(\frac{7}{8} = 0.875\)[/tex].
3. Combine the whole number part with the decimal equivalent of the fractional part:
- Add the whole number [tex]\(1\)[/tex] to the decimal [tex]\(0.875\)[/tex].
- [tex]\(1 + 0.875 = 1.875\)[/tex].
Therefore, the decimal equivalent of the mixed number [tex]\(1 \frac{7}{8}\)[/tex] is [tex]\(1.875\)[/tex].