Question
Multiply the fractions. \[ \frac{7}{20} \cdot \frac{12}{21} \]
Ask by Bush Brewer. in the United States
Nov 03,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The product is \(\frac{1}{5}\) or 0.2.
Solution
Calculate or simplify the expression \( \frac{7}{20} \cdot \frac{12}{21} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{7}{20}\times \frac{12}{21}\)
- step1: Reduce the fraction:
\(\frac{7}{20}\times \frac{4}{7}\)
- step2: Reduce the numbers:
\(\frac{1}{5}\)
The product of the fractions \(\frac{7}{20} \cdot \frac{12}{21}\) is equal to \(\frac{1}{5}\) or 0.2.
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Simplify this solution Extra Insights
To multiply the fractions \(\frac{7}{20} \cdot \frac{12}{21}\), simply multiply the numerators together and the denominators together: \[ \frac{7 \cdot 12}{20 \cdot 21} = \frac{84}{420} \] Next, simplify the fraction. Both the numerator and denominator can be divided by 84: \[ \frac{84 \div 84}{420 \div 84} = \frac{1}{5} \] Thus, the final answer is: \[ \frac{1}{5} \]
