Questions: 7/9 * 1/5 * 3/14

Solution Steps

To multiply fractions, you multiply the numerators together and the denominators together. Then, simplify the resulting fraction if possible.

To multiply the fractions \( \frac{7}{9} \), \( \frac{1}{5} \), and \( \frac{3}{14} \), we first multiply the numerators and the denominators:

\[ \frac{7}{9} \cdot \frac{1}{5} \cdot \frac{3}{14} = \frac{7 \cdot 1 \cdot 3}{9 \cdot 5 \cdot 14} \]

Calculating the numerator:

\[ 7 \cdot 1 \cdot 3 = 21 \]

Calculating the denominator:

\[ 9 \cdot 5 \cdot 14 = 630 \]

Thus, we have:

\[ \frac{21}{630} \]

Next, we simplify \( \frac{21}{630} \). The greatest common divisor (GCD) of 21 and 630 is 21. Therefore, we divide both the numerator and the denominator by 21:

\[ \frac{21 \div 21}{630 \div 21} = \frac{1}{30} \]

Final Answer