Questions: 4/21 * 7/12 =

4/21 * 7/12 =
Transcript text: $\frac{4}{21} \cdot \frac{7}{12}=$
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Solution

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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.

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

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

Step 2: Multiply the Denominators

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

Step 3: Form the New Fraction

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

Step 4: Simplify the Fraction

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

\[ \boxed{\frac{1}{9}} \]

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