Solution:
We know that:
- Given fraction: [tex]18\frac{3}{4}[/tex]
Since the denominator is divisible by 100, we can solve this using an alternate way.
Step-1: Let's convert the mixed fraction into improper fraction.
Converting the mixed fraction to improper fraction:
[tex]18\frac{3}{4} \\\\= \frac{(18 \times4) + 3}{4} \\\\= \frac{72 + 3}{4} \\\\= \frac{75}{4}[/tex]
Step-2: Somehow, let's change the denominator to a 100.
Changing the denominator to a 100 using a proportion:
[tex]\frac{75x}{4x} = \frac{75x}{100} \\\\ 4x = 100 \\\\ x = 25 \\\\ \bold{Check:} \\\\\frac{75 \times25}{4 \times 25} = \frac{75 \times 25}{100} \\\\ \frac{1875}{100} = \frac{1875}{100} \bold{(True)}[/tex]
Step-3: Adjust the decimal to the right place.
Adjusting the decimal to the right place:
[tex]\frac{1875}{100} = 1875 \div 100 = 18.75[/tex]
Since 100 has 2 zeros, the decimal shifted 2 places to the left.
Thus, [tex]18\frac{3}{4}[/tex] in decimal form is [tex]18.75[/tex].
