Which fraction represents the solution to -6/5 ÷ (-3/25) in simplest form?
A. -10
B. -18/125
C. 10
D. 18/125
Reduced to it's simplest form it's 10
B. -18/125
ty
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To find the solution to -6/5 ÷ (-3/25) in simplest form, you can follow these steps:
Step 1: Divide the numerator of the first fraction (-6/5) by the numerator of the second fraction (-3/25). This can be done by multiplying the first fraction by the reciprocal of the second fraction.
-6/5 ÷ (-3/25) = -6/5 * (-25/3)
Step 2: Simplify the resulting fraction by canceling out any common factors between the numerator and denominator.
-6/5 * (-25/3) = 150/15
Step 3: Further simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (GCD) of 150 and 15, which is 15.
150/15 = 10/1
Therefore, the solution to -6/5 ÷ (-3/25) in simplest form is 10.
So, the correct answer is C. 10.