- A
- B
- C
- D
Step-by-Step Solution
Multiply numerator and denominator by −1: . The value is unchanged; only the way it is written changes. The trap is flipping the fraction — that produces the reciprocal, not the standard form.
Answer: C)
Rewrite with a positive denominator.
Class 8Rational NumbersRational Numbers
Key idea: Finding rationals between two rationals
**Easiest way: the average.** Between a and b, the rational (a + b) / 2 lies exactly in the middle. Repeat to find more: between a and (a+b)/2 lies their average, and so on — forever.
**Common-denominator way**: bring both rationals to a common denominator with extra room. Between 1/3 and 1/2, write as 2/6 and 3/6 — but no integer fits between 2 and 3. Multiply top and bottom of both by 10: 20/60 and 30/60. Now 21/60, 22/60, …, 29/60 all sit between — nine fresh rationals.
This density is something integers don't have: there's no integer between 4 and 5.
**Common-denominator way**: bring both rationals to a common denominator with extra room. Between 1/3 and 1/2, write as 2/6 and 3/6 — but no integer fits between 2 and 3. Multiply top and bottom of both by 10: 20/60 and 30/60. Now 21/60, 22/60, …, 29/60 all sit between — nine fresh rationals.
This density is something integers don't have: there's no integer between 4 and 5.
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More Class 8 Rational Numbers practice
Rohit writes 5/9 - 2/3 = 2/3 - 5/9. What is wrong with his step?By what number must -4/9 be multiplied to get 1?Arrange -1/2, 3/4, -5/6, 0 in ascending order.A rope 45/4 m long is cut into pieces each 5/8 m long. How many pieces are obtained?Which expression equals -2/3 × (5/7 - 4/9 ) by the distributive property?