Find the reciprocal of
a. - 1/10 (-4-7)
b. ½ / ¼
(hint: solve these first then find reciprocal of the answer)
a. To find the reciprocal of -1/10(-4-7), we need to first simplify the expression inside the parentheses.
-1/10(-4-7) can be rewritten as -1/10 * -11.
Now, we multiply -1/10 with -11 to get 11/10.
Next, to find the reciprocal of 11/10, we interchange the numerator and denominator.
Therefore, the reciprocal of -1/10(-4-7) is 10/11.
b. To find the reciprocal of ½ / ¼, we need to divide ½ by ¼.
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have:
½ / ¼ = ½ * 4/1.
Multiplying ½ by 4/1 gives us 2/1, which simplifies to 2.
Finally, to find the reciprocal of 2, we interchange the numerator and denominator.
Therefore, the reciprocal of ½ / ¼ is 1/2.