Question

1. $5\frac{7}{8}=$

Explanation:

Step1: Convert mixed number to improper fraction

To convert a mixed number \( 5\frac{7}{8} \) to an improper fraction, we use the formula: \( \text{whole number} \times \text{denominator} + \text{numerator} \) over the denominator. So, \( 5\times8 + 7 \) for the numerator.
\( 5\times8 = 40 \), then \( 40 + 7 = 47 \). The denominator remains 8.

Step2: Write the improper fraction

So, \( 5\frac{7}{8} = \frac{47}{8} \). If we want a decimal, we divide 47 by 8: \( 47\div8 = 5.875 \).

Answer:

As an improper fraction: \(\frac{47}{8}\); as a decimal: \(5.875\)