Question
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Answer
The result is \( \frac{4}{9} \) or \( 0.\dot{4} \).
Solution
Calculate or simplify the expression \( \frac{7}{9} \cdot \frac{12}{21} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{7}{9}\times \frac{12}{21}\)
- step1: Reduce the fraction:
\(\frac{7}{9}\times \frac{4}{7}\)
- step2: Reduce the numbers:
\(\frac{1}{9}\times 4\)
- step3: Multiply:
\(\frac{4}{9}\)
The result of \( \frac{7}{9} \cdot \frac{12}{21} \) is \( \frac{4}{9} \) or \( 0.\dot{4} \).
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Simplify this solution Bonus Knowledge
First, let's simplify the fractions before multiplying. The fraction \( \frac{12}{21} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So, \( \frac{12}{21} = \frac{4}{7} \). Now we multiply \( \frac{7}{9} \cdot \frac{4}{7} \). The 7s cancel out, leaving us with \( \frac{4}{9} \). Next, remember to always check for simplification opportunities before performing the multiplication! It not only makes calculations easier, but it often leads to a cleaner final answer. Common mistakes include overlooking these opportunities, which can lead to more complicated fractions than necessary.
