solve, show the solution, and simplify. 16/30*18/60

Let's solve and simplify the expression \(\frac{16}{30} \times \frac{18}{60}\).

### Step 1: Multiply the fractions
To multiply fractions, multiply the numerators together and the denominators together:

\[
\frac{16}{30} \times \frac{18}{60} = \frac{16 \times 18}{30 \times 60}
\]

### Step 2: Simplify the multiplication
First, calculate the numerator and the denominator:

- Numerator: \(16 \times 18 = 288\)
- Denominator: \(30 \times 60 = 1800\)

So the fraction is:

\[
\frac{288}{1800}
\]

### Step 3: Simplify the fraction
Now, simplify \(\frac{288}{1800}\) by finding the greatest common divisor (GCD) of 288 and 1800.

- The GCD of 288 and 1800 is 72.

Divide both the numerator and the denominator by 72:

\[
\frac{288 \div 72}{1800 \div 72} = \frac{4}{25}
\]

Thus, the simplified form of \(\frac{16}{30} \times \frac{18}{60

Learn how to solve and simplify the multiplication of fractions 16/30 * 18/60 step-by-step. This problem covers basic arithmetic concepts of fractions and their multiplication. Suitable for students in Grades 5-7.

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