Question

1. 6 × (3/14) =
2. 4 × (1/9) =
3. 7 × (6/17) =
4. 2 × (13/3) =

Explanation:

Step1: Solve \( 6 \times \frac{3}{14} \)

To multiply an integer by a fraction, we multiply the integer with the numerator of the fraction and keep the denominator the same. So, \( 6\times\frac{3}{14}=\frac{6\times3}{14}=\frac{18}{14} \). Then we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, \( \frac{18\div2}{14\div2}=\frac{9}{7} \).

Step2: Solve \( 4 \times \frac{1}{9} \)

Using the rule of multiplying an integer by a fraction, we get \( 4\times\frac{1}{9}=\frac{4\times1}{9}=\frac{4}{9} \).

Step3: Solve \( 7 \times \frac{6}{17} \)

Multiplying the integer 7 with the numerator 6, we have \( 7\times\frac{6}{17}=\frac{7\times6}{17}=\frac{42}{17} \).

Step4: Solve \( 2 \times \frac{13}{3} \)

Applying the multiplication rule, we get \( 2\times\frac{13}{3}=\frac{2\times13}{3}=\frac{26}{3} \).

Answer:

1. \( \frac{9}{7} \) (or \( 1\frac{2}{7} \))
2. \( \frac{4}{9} \)
3. \( \frac{42}{17} \) (or \( 2\frac{8}{17} \))
4. \( \frac{26}{3} \) (or \( 8\frac{2}{3} \))