Multiply. Write your answer as a fraction In simplest form 6times (5)/(9) square

To multiply a whole number by a fraction, you can follow these steps:<br /><br />1. Convert the whole number to a fraction by placing it over 1.<br />2. Multiply the numerators (the top numbers) together.<br />3. Multiply the denominators (the bottom numbers) together.<br />4. Simplify the resulting fraction if possible.<br /><br />Let's apply these steps to the given problem:<br /><br />\[ 6 \times \frac{5}{9} \]<br /><br />Step 1: Convert the whole number 6 to a fraction:<br />\[ 6 = \frac{6}{1} \]<br /><br />Step 2: Multiply the numerators:<br />\[ 6 \times 5 = 30 \]<br /><br />Step 3: Multiply the denominators:<br />\[ 1 \times 9 = 9 \]<br /><br />So, we have:<br />\[ \frac{6}{1} \times \frac{5}{9} = \frac{30}{9} \]<br /><br />Step 4: Simplify the fraction \(\frac{30}{9}\):<br />- Find the greatest common divisor (GCD) of 30 and 9, which is 3.<br />- Divide both the numerator and the denominator by their GCD.<br /><br />\[ \frac{30 \div 3}{9 \div 3} = \frac{10}{3} \]<br /><br />Therefore, the answer in simplest form is:<br />\[ \boxed{\frac{10}{3}} \]