Write your answer as a fraction in simplest form. 5/9 times 6
The correct answer and explanation is:
To multiply 59\frac{5}{9} by 6, the number 6 can be written as a fraction 61\frac{6}{1}. The multiplication of two fractions is done by multiplying the numerators and the denominators. Here’s the step-by-step process: 59×61=5×69×1=309\frac{5}{9} \times \frac{6}{1} = \frac{5 \times 6}{9 \times 1} = \frac{30}{9}
Now, the next step is to simplify the fraction. To simplify, find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 9 is 3. So, divide both the numerator and the denominator by 3: 309÷3=30÷39÷3=103\frac{30}{9} \div 3 = \frac{30 \div 3}{9 \div 3} = \frac{10}{3}
Thus, the simplest form of 59×6\frac{5}{9} \times 6 is 103\frac{10}{3}.
Explanation:
When multiplying fractions, it’s important to remember the rule: multiply the numerators together and multiply the denominators together. In this case, the number 6 is converted to a fraction 61\frac{6}{1} because multiplying a number by a fraction follows the same principles as multiplying two fractions.
After performing the multiplication, you get an improper fraction, 309\frac{30}{9}. To make the fraction simpler, we reduce it by finding the GCD of 30 and 9, which is 3. Dividing both the numerator and denominator by 3 gives the simplified fraction 103\frac{10}{3}.
This is the final result, and it represents the product of 59\frac{5}{9} and 6 in the simplest form.