Question

7/27 x 3 write in simplest form show worl

Answer 1

To simplify the expression \( \frac{7}{27} \times 3 \), follow these steps:

1. **Write the whole number as a fraction**:
The number \( 3 \) can be expressed as \( \frac{3}{1} \).
So we have:
\[
\frac{7}{27} \times \frac{3}{1}
\]

2. **Multiply the numerators and the denominators**:
- Multiply the numerators: \( 7 \times 3 = 21 \)
- Multiply the denominators: \( 27 \times 1 = 27 \)
This gives us:
\[
\frac{21}{27}
\]

3. **Simplify the fraction**:
To simplify \( \frac{21}{27} \), we need to find the greatest common divisor (GCD) of the numerator and denominator.
- The factors of \( 21 \) are \( 1, 3, 7, \) and \( 21 \).
- The factors of \( 27 \) are \( 1, 3, 9, \) and \( 27 \).
- The GCD of \( 21 \) and \( 27 \) is \( 3 \).

4. **Divide the numerator and denominator by the GCD**:
\[
\frac{21 \div 3}{27 \div 3} = \frac{7}{9}
\]

So, the simplest form of \( \frac{7}{27} \times 3 \) is:
\[
\frac{7}{9}
\]