Questions: 4/21 * 7/12 =

Solution Steps

To solve the given problem, we need to multiply two fractions. The multiplication of fractions involves multiplying the numerators together and the denominators together.

1. Multiply the numerators: \(4 \times 7\).
2. Multiply the denominators: \(21 \times 12\).
3. Simplify the resulting fraction if possible.

To multiply the fractions \(\frac{4}{21}\) and \(\frac{7}{12}\), we first multiply the numerators: \[ 4 \times 7 = 28 \]

Next, we multiply the denominators: \[ 21 \times 12 = 252 \]

The result of the multiplication is: \[ \frac{28}{252} \]

To simplify \(\frac{28}{252}\), we find the greatest common divisor (GCD) of 28 and 252, which is 28. We then divide both the numerator and the denominator by their GCD: \[ \frac{28 \div 28}{252 \div 28} = \frac{1}{9} \]

Final Answer