Question

1. $9\frac{3}{8} = $

Explanation:

Step1: Convert mixed number to improper fraction

A mixed number \( a\frac{b}{c} \) (where \( a \) is the whole number, \( b \) is the numerator, and \( c \) is the denominator) can be converted to an improper fraction using the formula \( \frac{a\times c + b}{c} \). For \( 9\frac{3}{8} \), \( a = 9 \), \( b = 3 \), and \( c = 8 \). So we calculate \( 9\times8 + 3 \).
\( 9\times8 = 72 \), then \( 72 + 3 = 75 \).

Step2: Write the improper fraction

Using the denominator from the mixed number, the improper fraction is \( \frac{75}{8} \). If we want to convert it to a decimal, we divide 75 by 8. \( 75\div8 = 9.375 \).

Answer:

As an improper fraction: \( \frac{75}{8} \); As a decimal: \( 9.375 \)