To solve [tex]$\frac{5}{18}$[/tex] of 3, we start by interpreting the problem: we need to multiply the fraction [tex]$\frac{5}{18}$[/tex] by the number 3.
1. Set up the multiplication:
[tex]\[
\frac{5}{18} \times 3
\][/tex]
2. Rewrite the whole number 3 as a fraction:
[tex]\[
\frac{5}{18} \times \frac{3}{1}
\][/tex]
3. Multiply the numerators (the top numbers) together:
[tex]\[
5 \times 3 = 15
\][/tex]
4. Multiply the denominators (the bottom numbers) together:
[tex]\[
18 \times 1 = 18
\][/tex]
5. Combine the results to form a new fraction:
[tex]\[
\frac{15}{18}
\][/tex]
6. Simplify the fraction by finding the greatest common divisor (GCD) of 15 and 18, which is 3:
[tex]\[
\frac{15 \div 3}{18 \div 3} = \frac{5}{6}
\][/tex]
Therefore, [tex]$\frac{5}{18}$[/tex] of 3 is [tex]$\frac{5}{6}$[/tex] in its simplest form.
