4/5 • m = 7

m=? simplest form. please I really need help!

4/5 • m = 7

m = 7 / (4/5)

m = ?

I'll be glad to check your answer.

4/5?

No.

m = 7 / (4/5)

m = 7 * (5/4)

m= ?

Multiply 7 times 5/4 to find the value of m.

To solve the equation 4/5 • m = 7 and find the value of m in simplest form, we need to isolate the variable m.

Step 1: Multiply both sides of the equation by the reciprocal of 4/5, which is 5/4, to get rid of the fraction:
(5/4)(4/5 • m) = (5/4)(7)
This simplifies to:
1 • m = 35/4

Step 2: Simplify the left side of the equation:
m = 35/4

To express the value as a fraction in simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 35 and 4 is 1, as there are no common factors other than 1 between them.

Step 3: Divide both the numerator and the denominator by their GCD (which is 1 in this case):
m = 35/4 (no further simplification needed)

Therefore, the value of m in simplest form is 35/4.