Answer:
the simplified expression (-1/4) / (7/10) - 1/3 is equal to -29/42.
Explanation:
1. Convert the division into multiplication: To divide by a fraction, you can multiply by its reciprocal. In this case, you can rewrite (-1/4) / (7/10) as (-1/4) * (10/7).
2. Multiply the numerators and denominators: Multiply the numerators (-1 * 10) and denominators (4 * 7) together to get -10/28.
3. Simplify the fraction: The fraction -10/28 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives us -5/14.
4. Subtract 1/3: To subtract 1/3 from -5/14, we need a common denominator. The least common multiple of 14 and 3 is 42. So we can rewrite -5/14 as (-5/14) * (3/3) to get -15/42.
5. Perform the subtraction: Subtracting 1/3 from -15/42, we get (-15/42) - (14/42) = -29/42.