What is (2 3/5)t= -22?
(2 3/5)t= -22
t = -22 / (2 3/5)
t = -22 / 13/5
t = -22 * 5/13
t = -8 6/13
Check my math.
To solve the equation (2 3/5)t = -22, we can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
The mixed number 2 3/5 can be converted to an improper fraction by multiplying the whole number (2) by the denominator (5) and adding the numerator (3) to get the new numerator. So, 2 3/5 can be written as (2 * 5 + 3) / 5 = 13/5.
The equation now becomes (13/5)t = -22.
Step 2: Solve for t.
To solve for t, divide both sides of the equation by 13/5.
(13/5)t / (13/5) = -22 / (13/5)
Simplifying the equation, we have: t = (-22) * (5/13)
Step 3: Calculate the value of t.
Multiply -22 by 5 and divide the result by 13 to find the value of t.
t = (-22) * (5/13) = -110/13
So, the value of t is -110/13.