Question

Trey has bought 10 pounds of dog food. He feeds his dog2/5pounds for each meal. For how many meals will the food last?Write your answer in simplest form

Answer 1

25 meals

Step-by-step explanation

Trey has 10 pounds of food to give to his dog. To know for how many meals the food will last we have to divide the total amount of food by the amount of food he gives the dog in each meal,

`10\colon(2)/(5)`

To divide this we can use the KCF rule:

• K,eep the first fraction. In this case the first number is a whole number, which we can think of as a fraction with denominator 1.

,

• C,hange the division sign into a multiplication sign.

,

• F,lip the second fraction.

`10\colon(2)/(5)=10*(5)/(2)`

And to multiply we just multiply the numerators and the denominators,

`10*(5)/(2)=(10*5)/(1*2)=(50)/(2)`

To write it in simplest form we have to simplify the fraction. Note that 50 is an even number, so it is divisible by 2. 50 divided by 2 is,

`(50)/(2)=25`

Hence, the food will last 25 meals