Find the reciprocal of
a. - 1/10 (-4-7)
b. ½ / ¼
(hint: solve these first then find reciprocal of the answer)
To find the reciprocal of a fraction, you simply need to invert the fraction. In other words, you swap the numerator and the denominator.
Let's solve the given problems first, and then we'll find the reciprocal of the answers.
a. - 1/10 (-4-7):
- First, simplify the expression inside the parentheses: -4 - 7 = -11
- Now, multiply -11 by -1/10: -11 * (-1/10) = 11/10
The answer is 11/10.
To find the reciprocal of 11/10, we need to invert the fraction: 10/11.
Therefore, the reciprocal of -1/10 (-4-7) is 10/11.
b. ½ / ¼:
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
- Multiply 1/2 by the reciprocal of 1/4: 1/2 * 4/1 = 4/2 = 2
The answer is 2.
To find the reciprocal of 2, we need to invert the fraction: 1/2.
Therefore, the reciprocal of 1/2 / 1/4 is 1/2.