Practice30Create account

Anita needs a rational number lying between and . Which method actually works?

Class 7Rational NumbersRational Numbers
  • AThere is no such number, because 3 and 4 are consecutive integers
  • BRewrite them as and ; then lies between them
  • CSubtract them: , which lies between them
  • DDouble the denominator only: lies between them

Step-by-Step Solution

Scaling both to fourteenths opens up room: , so works. Consecutive numerators never mean "nothing in between" — between any two rationals there are infinitely many. The difference is smaller than , and is half of , so neither lies between.
Answer: B) Rewrite them as and ; then lies between them

Key idea: Rationals on the number line

Every rational number has a place on the number line. Negative rationals on the left of 0, positive on the right. Between any two rationals, you can always find another rational (in fact, infinitely many) — this is called **density**.

Example: between 1/3 and 1/2, the average (1/3 + 1/2)/2 = 5/12 sits in the middle. Between 1/3 and 5/12 there's another rational, and so on, forever.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Rational Numbers practice questions

More Class 7 Rational Numbers practice

On a number line every unit is divided into 5 equal parts. Which rational number sits 3…The rational number -17/5 lies between which two consecutive integers?What must be SUBTRACTED from 5/6 to get -1/3?At 6 pm the temperature at a Manali weather post was -3/4 °C, and by midnight it had…Kavya bought 7/4 kg of tomatoes and used 5/6 kg while cooking. How many kilograms are…