How Do You Solve a Proportion Using the Multiplication Property of Equality?

'x' is the unknown variable in this problem
Multiplying by 5 is the inverse of dividing by 5
Whatever we do to one side, we have to do to the other to keep the equation balanced!
5x9=45
45÷15=3
9/15 is equivalent to 3/5

1. 'x' is the unknown variable in this problem
2. 'x' is divided by 5, so to get rid of 5 we need to do the opposite of division
1. 'x' is the unknown variable in this problem
1. We can't simply 'move 5' anywhere, but using the multiplication property of equality allows us to transfer values to the other side while keeping the equation balanced.
2. 5 over 1 is the same as 5
3. 5÷5=1 and 1 is the multiplicative identity, which means that 1 times anything is itself. All together we say that the 5's cancel each other, and we're left with x
1. Now that x is by itself, we can solve by simplifying the other side.
2. 'x' is the unknown variable in this problem
3. x=3
1. 'x' is the unknown variable in this problem
2. A proportion is true if both ratios are equal.

Solve the following proportion using the Multiplication Property of Equality.9/15 = x/5