Question

Which is the product of į and 6?O A. 1 1 /O B. 37Ос.O c. 43C.O D. 78

Answer 1

To calculate the product of a fration and a number, we first need to remeber that any number can be written as a fraction by putting 1 into the denominator:

`6=(6)/(1)`

Now, to make a multiplication of two fractions, we multiply the numerators and the denominators:

`(7)/(9)\cdot6=(7)/(9)\cdot(6)/(1)=(7\cdot6)/(9\cdot1)=(42)/(9)`

This fraction can be simplifies first by dividing both the numerator and the denominator by 3:

`(42)/(9)=(14)/(3)`

Now, we can write the fraction as a mixed number by checking how many times 3 fits in 14.

4 times 3 is 12, so we can rewrite the fraction as:

`(14)/(3)=(12+2)/(3)=4(2)/(3)`

So, this corresponds to alternative C.