Question

Evaluate each expression if m=-2 2/5, n= -3/10 , and p = 6.
44. m/n

Answer 1

To evaluate m/n for m = -2 2/5 and n = -3/10, convert m to an improper fraction (-12/5), take the reciprocal of n (10/-3), and multiply the two resulting fractions to get a final answer of 8.

Step-by-step explanation:

To evaluate the expression m/n with the given values m = -2 2/5 and n = -3/10, we first convert m to an improper fraction. The mixed number -2 2/5 can be converted to an improper fraction by multiplying the whole number part by the denominator, adding the numerator, and keeping the negative sign, which gives us -12/5. We then directly divide -12/5 by -3/10.

Here are the steps for the division:

1. 
   
3. First, convert the divisor (-3/10) to its reciprocal: 10/-3.
4. 
   
6. Next, multiply the dividend and the new divisor: (-12/5) × (10/-3).
7. 
   
9. Simplify the multiplication by canceling out any common factors and apply the rule that a negative times a negative is a positive: 4/1 × 2/1 = 8.

Therefore, the result of m/n is 8.