If the quotient of a number and 4 is added to 1/2 , the result is 3/4.find the number

Question

1. Show work
2. anwer
3. how it was solved

Answer 1

Javier,

 

Let n be the number in question; then, we can write the word problem as an equation like this:

 

(n/4) + 1/2 = 3/4 (remember quotient means divide)

 

To solve, you can either deal with the fractions or multiply everything by the least common multiple of all the denominators (4, 2, 4), which is 4.  Let's do that:

 

4(n/4) + 4(1/2) = 4(3/4)

 

n + 2 = 3

 

Subtract 2 from both sides:

 

n = 1

 

Hope this helps...