Find (−4/5) × (3/7) × (15/16) × (−14/9).
A1/2
B−1/2
C2
D1/4
Answer & Solution
Correct answer: A. 1/2
Group the negatives first: (−4/5) × (−14/9) = 56/45. Group the positives: (3/7) × (15/16) = 45/112. Multiply: (56/45) × (45/112) = 56/112 = 1/2. The two negative signs cancel, and the 45s cancel cleanly.
Related questions
Three rational numbers a, b, c are given. Which of the following is ALWAYS true?For which rational number a is the statement 'a is its own multiplicative inverse' TRUE?For which rational number a is the statement 'a is its own additive inverse' TRUE?Using distributivity, find: (3/5) × [(−7/9) + (4/9)].Which of the following is the WHOLE NUMBER that is closest to 0 but is NOT a natural numbeDoes the rational number 0 have a multiplicative inverse?How many rational numbers exist between 1/3 and 1/2?Simplify using commutativity and distributivity: (2/5) × (−3/7) − (1/14) − (3/7) × (3/5)