a b
- = - = 3, Find a + b
4 5
PLEASE HELP! IT'S DUE IN A LITTLE WHILE!
type your fractions this way:
a/4 = b/5 = 3
then:
a/4 = 3 ---> a = 12
and
b/5 = 3 --> b = 15
finally:
a+b = 12+15 = 27
To find the value of a + b, we need to solve the equation:
a/4 = b/5 = 3
The equation means that a divided by 4 is equal to b divided by 5, and both of these fractions are equal to 3.
To find the common value of a and b, we can set up a proportion:
a/4 = b/5
Cross-multiplying, we get:
5a = 4b
Now we can solve for a in terms of b:
a = (4b)/5
Substituting this value of a into the equation a + b = 3, we get:
(4b)/5 + b = 3
To simplify the equation, we can get rid of the fraction by multiplying both sides of the equation by 5:
5 * [(4b)/5] + 5 * b = 5 * 3
This cancels out the fractions and gives us:
4b + 5b = 15
Combining like terms, we have:
9b = 15
Now we can solve for b by dividing both sides of the equation by 9:
b = 15/9
b simplifies to:
b = 5/3
Substituting this value of b into the equation a = (4b)/5, we get:
a = (4 * (5/3))/5
Simplifying further:
a = 20/15
Which simplifies to:
a = 4/3
Therefore, a + b = (4/3) + (5/3) = 9/3 = 3