-3/5m= -45
if you can't see the m its next to the fraction sign thank you and could you please show your work
As I understand the problem -- it's
-3/5m = -45
m = -45 divided by -3/5
m = -45 * -5/3
m = 75
Proof:
-3/5 * 75 = -45
-45 = -45
To Kiwi,
A better way of showing how the m is placed is to use parentheses. For example, if m is in the numerator, it would be written as
-(3m)/5 = -45.
If m is in the denominator, it would be written as
-3/(5m) = -45.
To solve the equation -3/5m = -45, we need to isolate the variable 'm' on one side of the equation. Here's how you can solve it step by step:
Step 1: Simplify the equation by multiplying both sides by the reciprocal of -3/5, which is -5/3. When we multiply both sides of the equation by a fraction, it's the same as multiplying each term in the equation by the numerator of the fraction over the denominator.
(-3/5m) * (-5/3) = -45 * (-5/3)
Simplifying each side of the equation gives us:
(1m) = (75/3)
Step 2: Simplify further. Since 1 multiplied by any number is just that number, we can simplify 1m as m:
m = 75/3
Step 3: Reduce the fraction, if possible. In this case, 75/3 is already simplified because there are no common factors other than 1.
m = 25
So, the value of 'm' that satisfies the equation -3/5m = -45 is m = 25.