Write four rational numbers equivalent to 7 - 6 .

Given rational number is 7 - 6 To get an equivalent rational number the numerator and denominator of a rational number is multiplied by a non-zero integer, we obtain another rational number which is equivalent to the given rational number. Thus, 7 - 6 = 7 × 2 - 6 × 2 = 14 - 12 , 7 - 6 = 7 × 3 - 6 × 3 = 21 - 18 , 7 - 6 = 7 × 4 - 6 × 4 = 28 - 24 and 7 - 6 = 7 × 5 - 6 × 5 = 35 - 30 Hence, four equivalent rational numbers of 7 - 6 are 14 - 12 , 21 - 18 , 28 - 24 , 35 - 30 .

Write four rational numbers equivalent to 7 - 6 .

Given rational number is 7 - 6 To get an equivalent rational number the numerator and denominator of a rational number is multiplied by a non-zero integer, we obtain another rational number which is equivalent to the given rational number. Thus, 7 - 6 = 7 × 2 - 6 × 2 = 14 - 12 , 7 - 6 = 7 × 3 - 6 × 3 = 21 - 18 , 7 - 6 = 7 × 4 - 6 × 4 = 28 - 24 and 7 - 6 = 7 × 5 - 6 × 5 = 35 - 30 Hence, four equivalent rational numbers of 7 - 6 are 14 - 12 , 21 - 18 , 28 - 24 , 35 - 30 .

Arrange the rational numbers - 13 20 , 6 15 , 7 12 , - 9 10 and 3 5 in the descending order.

Given rational numbers are - 13 20 , 6 15 , 7 12 , - 9 10 and 3 5 To arrange the rational numbers in descending order make their denominators equals to L.C.M of the denominators of all rational numbers. So, L.C.M of 20 , 15 , 12 , 10 , 5 = 60 So, make the denominators of each rational numbers equal to 60 by multiplying and dividing with constant number. Multiply and divide the fraction with 3 ⇒ - 13 20 × 3 3 = - 39 60 Multiply and divide the fraction with 4 ⇒ 6 15 × 4 4 = 24 60 Multiply and divide the fraction with 5 ⇒ 7 12 × 5 5 = 35 60 Multiply and divide the fraction with 6 ⇒ - 9 10 × 6 6 = - 54 60 Multiply and divide the fraction with 12 ⇒ 3 5 × 12 12 = 36 60 Descending order means arranging the numbers from larger to smaller values. Now compare the numerators of all the rational numbers obtained, 36 60 > 35 60 > 24 60 > - 39 50 > - 54 60 So, the descending order of the rational numbers are 36 60 , 35 60 , 24 60 , - 39 50 , - 54 60

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Write four rational numbers equivalent to $\frac{7}{- 6}$ .

Important Questions on Rational Numbers

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

x

and

y

are positive integers and

\frac{3 x}{y} = 4,

then find the minimum value of

(3 x + 4 y)

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The sum of two digits of a number is

13

. If

9

is subtracted from the number, the digits are interchanged. What is the number?

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

Find the unit place digit in

(82)^{102} + (183)^{103}

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

What number should be added to

7, 17, 22

and

47

so that the resulting numbers will be in proportion in the given order?

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

A number of two digits is equal to '

k

' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The population of Patna city is $96000$ , the decreasing rate of population is $800$ per year. Population of Patliputra is $68000$ , the increasing rate of population is $1200$ per year. In how many years will the population of both places be equal?

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The least number, which is to be added to the greatest number of

4

digits so that the sum may be divisible by

345

, is _____.

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

If the cost of $\frac{5}{3}$ parts of a pizza is Rs. $300$ , then what will be the cost of $\frac{3}{5}$ parts of the pizza?

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

P and Q are two examination halls. If

10

examinees are sent from P into Q, the number of examinees becomes equal in both the halls. If

20

examinees are transferred from Q into P, the number of examinees becomes double in P in comparison with Q. What is the number of examinees in each P and Q separately ?

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

59

is added to a square of a number, the result is

900

. What is the number?

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

1800

chocolates were distributed among the students of a class. Each student got twice as many chocolates as the number of students in the class. Calculate the number of students in the class.

HARD

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

Let

S

be the set of all point

(\frac{a}{b}, \frac{c}{d})

on the circle with radius

1

centred at

(0, 0)

where

a

and

b

are relatively prime integers,

c

and

d

are relatively prime integers (that is

H C F (a, b) = H C F (c, d) = 1

), and the integers

b

and

d

are even. Then the set

S

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

In a following equation, what should be maximum value of $R$ ?

$4 P 2 + 3 Q 1 + 2 R 5 = 1178$

MEDIUM

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

A zoo has few number of penguins and polar bears. The total number of heads of both of them is

60

and total number of their feet is

160

. How many polar bears are there in the zoo.

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The unit digit of the number $6^{256} - 4^{256}$ is:

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

Select the correct option and complete the series.

$1, 8, 9, 64,_____,_____, 49, 512,_____$

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Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

Find the highest

5

digit number that is completely divisible by

324

EASY

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The difference of the cubes of two consecutive numbers is

127

. What are the numbers?

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Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

The sum of three consecutive numbers is $126$ . Find the highest number-

1. $41$
2. $42$
3. $43$
4. $44$

HARD

Mathematics>Arithmetic>Rational Numbers>Rational Number and Its Representation on Number Line

Arrange the rational numbers

\frac{- 13}{20}, \frac{6}{15}, \frac{7}{12}, \frac{- 9}{10} and \frac{3}{5}

in the descending order.

Write four rational numbers equivalent to 7-6.

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Write four rational numbers equivalent to $\frac{7}{- 6}$ .