Question

multiplying fractions by whole numbers

1. circle the number sentence that goes with this model.

8×\\(\frac{1}{4}\\) 18×\\(\frac{1}{3}\\) 16×\\(\frac{1}{4}\\)

1. circle the number sentence that goes with this model.

\\(\frac{3}{10}\\)×20 \\(\frac{1}{3}\\)×10 \\(\frac{1}{6}\\)×14

1. \\(\frac{1}{2}\\)×10 =
2. 24×\\(\frac{3}{8}\\) =
3. a group of 18 friends is going to a theme park. only \\(\frac{1}{3}\\) of them have been to a theme park before. how many members of the group have been to a theme park before? solve the problem and show your work.

Explanation:

Step1: Analyze the problem

We need to find \(\frac{1}{3}\) of \(18\). Mathematically, this is \(18\times\frac{1}{3}\).

Step2: Calculate the product

When multiplying a whole number \(a\) by a fraction \(\frac{b}{c}\), we use the formula \(a\times\frac{b}{c}=\frac{a\times b}{c}\). Here \(a = 18\), \(b = 1\), \(c=3\). So \(18\times\frac{1}{3}=\frac{18\times1}{3}\).
Since \(18\div3 = 6\), \(\frac{18\times1}{3}=6\).

Answer:

\(6\)