Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 2 - Rational Numbers [Latest edition]

Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits.

Write the numerator of the following rational numbers: `(- 125)/127`

Write the numerator of the following rational numbers: `37/(-137)`

Write the numerator of the following rational numbers: `(- 85)/93`

Write the numerator of the following rational numbers: 2

Write the numerator of the following rational numbers: 0

Write the denominator of the following rational numbers: `7/-15`

Write the denominator of the following rational numbers: `(-18)/29`

Write the denominator of the following rational numbers: `(-3)/4`

Write the denominator of the following rational numbers: -7

Write the denominator of the following rational numbers: 0

Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5).

`(-15)/1` in integer form is ______

`23/(-1)` in integer form is ______

If 18 = `18/"a"` then a = _____

If - 57 = `57/"a"` then a = _____ 

Separate positive and negative rational numbers from the following : 

`(-3)/5 , 3/-5 , (-3)/(-5), 3/5 , 0 , (-13)/-3 , 15/-8 , (- 15)/8`

Find three rational numbers equivalent to `3/5`

Find three rational numbers equivalent to `4/-7`

Find three rational numbers equivalent to `-5/9`

Find three rational numbers equivalent to `8/-15`

Which of the following are not rational numbers: -3

Which of the following are not rational numbers: 0

Which of the following are not rational numbers: `0/4`

Which of the following are not rational numbers: `8/0`

Which of the following are not rational numbers: `0/0`

Express the following integer as a rational number with denominator 7- 5

Express the following integer as a rational number with denominator 7:  - 8 

Express the following integer as a rational number with denominator 7:  0

Express the following integer as a rational number with denominator 7:  -16

Express the following integer as a rational number with denominator 7:  7

Express `3/5` as a rational number with denominator: 20

Express `3/5` as a rational number with denominator: - 20

Express `3/5` as a rational number with denominator: 45

Express `3/5` as a rational number with denominator: 25

Express `3/5` as a rational number with denominator: − 35

Express `4/7` as a rational number with numerator: 12

Express `4/7` as a rational number with numerator: -12

Express `4/7` as a rational number with numerator: -16

Express `4/7` as a rational number with numerator: −20

Express `4/7` as a rational number with numerator: 20

Find x, such that: `(-2)/3=6/"x"`

Find x, such that: `7/-4 = "x"/8`

Find x, such that: `3/7 = "x"/-35`

Find x, such that: `(- 48)/"x" = 6`

Find x, such that: `36/"x" = 3`

Find x, such that: `(-27)/"x" = 9`

Express the following rational number to the lowest term: `12/15`

Express the following rational numbers to the lowest terms: `(-120)/144`

Express the following rational numbers to the lowest terms: `(-48)/-72`

Express the following rational numbers to the lowest terms: `14/-56`

Express the following rational number in the standard form. `(-7)/-8`

Express the following rational number in the standard form. `5/-12`

Express the following rational number in the standard form. `(-7)/-20`

Express the following rational number in the standard form. `4/-9`

Mark the following pairs of rational numbers on the separate number lines: `3/4` and `- 1/4`

Mark the following pairs of rational numbers on the separate number lines:  `2/5` and `(- 3)/5`

Mark the following pairs of rational numbers on the separate number lines: `5/6` and `(- 2)/3`

Mark the following pairs of rational numbers on the separate number lines: `2/5  "and" - 4/5`

Mark the following pairs of rational numbers on the separate number lines: `1/4 "and" - 5/4`

Compare: `3/5` and `5/7`

Compare: `(-7)/2` and `5/2`

Compare: `- 3  "and"  2 3/4 or 11/4`

Compare: `-1 1/2 and 0 or -3/2 and 0`

Compare: `0 and 3/4`

Compare: 3 and -1

Compare:  `(-1)/4` and 0

Compare:  `1/4` and 0

Compare:  `(- 3)/8 and 2/5`

Compare:

`(-5)/8 and 7/-12`

Compare: `(5)/-9 and (-5)/-9`

Compare: `(-7)/8 and 5/-6`

Compare: `2/7 and (-3)/-8`

Compare: `(-5)/8 and 7/-12`

Arrange the given rational numbers in ascending order:

`7/10 , (-11)/-30  "and"  5/-15` 

Arrange the given rational numbers in ascending order:

`4/-9, (-5)/12  "and" 2/-3 ` 

Arrange the given rational numbers in descending order:

`5/8, 13/-16  "and" (-7)/12`

Arrange the given rational numbers in descending order:

`3/-10, (-13)/30  "and"  8/-20`

Fill in the blank:

`5/8` and `3/10` are on the ________ side of zero.

Fill in the blank:

`(-5)/8` and `3/10` are on the ________ side of zero

Fill in the blank:

`-5/8` and `-3/10` are on the ________ side of zero.

Fill in the blank:

`5/8` and `-3/10` are on the ________ side of zero.

Add: `7/5  "and"  2/5`

Add: `(-4)/9  "and"  2/9`

Add: `5/-12  "and"  1/12`

Add: `4/-15  "and"  (-7)/-15`

Add: `(-7)/25  "and"  9/-25`

Add: `(-7)/26  "and"  7/-26`

Add: `(-2)/5  "and"  3/7`

Add: `(- 5)/6  "and"  4/9`

Add: `-3  "and"  2/3 `

Add: `(-5)/9  "and"  7/18`

Add: `(-7)/24  "and"  (-5)/48`

Add: `1/-18  "and"  5/-27`

Add: `(-9)/25  "and"  1/-75`

Add: `13/-16  "and"  (- 11)/24`

Add: `(-9)/(-16)  "and"  (-11)/8`

Evaluate: `(-2)/5 + 3/5 + (-1)/5`

Evaluate: `(-8)/9 + 4/9 + (-2)/9`

Evaluate: `5/-24 + (- 1)/8 + 3/16`

Evaluate: `(- 7)/6 + 4/-15 + (-4)/-30`

Evaluate: `-2 + 2/5 + (-2)/15`

Evaluate: `(-11)/12 + 5/16 + (-3)/8`

Evaluate: `- 11/18 + (-3)/9 + 2/-3`

Evaluate: `(- 9)/4 + 13/3 + 25/6`

Evaluate: `- 5 + 5/-8 + (-5)/(-12)`

Evaluate: `- 2/3 + 5/2 + 2`

Evaluate: `5 + (-3)/4 + (-5)/8`

Subtract : `2/9  "from"  5/9`

Subtract : `(-6)/11  "from"  (-3)/(-11)`

Subtract : `(-2)/15  "from"  (-8)/(15)`

Subtract: `11/18  "from"  (-5)/18`

Subtract: `(-4)/11  "from" -2`

Subtract:

`(-3)/10  "from"  1/5`

Subtract:

`(- 6)/25  "from"  (-8)/5`

Subtract: `(- 7)/4  "from" -2`

Subtract: `(- 16)/21  "from"  1`

Subtract: `(- 8)/15  "from"  0`

Subtract: `0  "from"  (-3)/8`

Subtract: `-2  "from"  (-3)/10`

Subtract: `5/8  "from"  (-5)/16`

Subtract: `4  "from"  -3/13`

The sum of two rational numbers is `11/24`. If one of them is `3/8`, fine the other.

The sum of two rational numbers is `(-7)/12`. If one of them is `13/24`, fine the other.

The sum of two rational numbers is -4. If one of them is `(-13)/12`, fine the other.

What should be added to `(-3)/32` to get `53/96`?

What should be added to `(-3)/5` to get 2?

What should be subtracted from `(-4)/5` to get 1?

The sum of two numbers is `- 6/5`. If one of them is -2, find the other.

What should be added to `(-7)/12` to get `3/8`?

What should be subtracted from `5/9` to get `9/5`?

Evaluate: `5/4 xx 3/7`

Evaluate: `2/3 xx -6/7`

Evaluate: `((-12)/5) xx (10/-3)`

Evaluate: `(-45)/39 xx (-13)/15`

Evaluate: `3 1/8 xx (-2 2/5)`

Evaluate: `2 14/25 xx ((-5)/16)`

Evaluate: `((-8)/9) xx ((-3)/16)`

Evaluate: `(5/-27) xx ((-9)/20)`

Multiply: `3/25  "and"  4/5` 

Multiply: `1 1/8  "and"  10 2/3` 

Multiply: `6 2/3  "and"  (-3)/8`

Multiply: `(-13)/15  "and"  (-25)/26`

Multiply: `1 1/6  "and"  18`

Multiply: `2 1/14  "and"  -7`

Multiply: `5 1/8  "and"  -16`

Multiply: ` 35  "and"  (-18)/25`

Multiply: `6 2/3  "and"  -3/8`

Multiply: `3 3/5  "and"  -10`

Multiply: `27/28  "and"  -14`

Multiply: `- 24  "and"  5/16`

Evaluate: `(-6 xx 5/18) - (- 4 2/9)`

Evaluate: `(7/8 xx 8/7) + ((-5)/9) xx (6/-25)`

Evaluate: `(11/-9 xx 21/44) + ((-5)/9) xx (63/-100)`

Evaluate: `((-5)/9 xx 6/-25) + (24/21 xx 7/8)`

Evaluate: `((- 35)/39 xx (- 13)/7) - (7/90 xx (- 18)/14)`

Evaluate: `((-4)/5 xx 3/2) + (9/-5 xx 10/3) - ((-3)/2 xx (-1)/4)`

Find the cost of `3 1/2` m cloth, if one metre cloth costs ₹325 `1/2`.

A bus is moving with a speed of 65 `1/2` km per hour. How much distance will it cover in 1 `1/3` hours.

Divide: `15/28  "by"  3/4` 

Divide: `(-20)/9  "by"  (-5)/9` 

Divide: `16/-5  "by"  (-8)/7` 

Divide: `-7  "by"  (- 14)/5`

Divide: `-14   "by"  7/-2`

Divide: `(- 22)/9   "by"  11/18`

Divide: `35  "by"  (- 7)/9`

Divide: `21/44  "by" - 11/9`

Evaluate: `3 5/12 + 1 2/3`

Evaluate: `3 5/12 - 1 2/3`

Evaluate: `(3 5/12 + 1 2/3) div (3 5/12 - 1 2/3)`

The product of two numbers is 14. If one of the numbers is `(-8)/7`, find the other.

The cost of 11 pens is ₹ `24 3/4`. Find the cost of one pen.

If 6 identical articles can be bought for ₹ 2 `6/17`.  Find the cost of each article.

By what number should `(-3)/8` be multiplied so that the product is `(-9)/16`?

By what number should `(-5)/7` be divided so that the result is `(-15)/28`?

Evaluate : `(32/15 + 8/5) div (32/15 - 8/5)`

Seven equal pieces are made out of a rope 5 of 21 `5/7` m. Find the length of each piece.

Evaluate: `(-2)/3 + 3/4`

Evaluate: `7/-27 + 11/18`

Evaluate: `(- 3)/8+ (-5)/12`

Evaluate: `9/-16 + (-5/-12)`

Evaluate: `(-5)/9 + (-7)/12 + 11/18`

Evaluate: `7/-26 + 16/39`

Evaluate: `- 2/3 - ((- 5)/7)`

Evaluate: `- 5/7 - (- 3/8)`

Evaluate: `7/26 + 2 + (-11)/13`

Evaluate: `-1 + 2/-3 + 5/6`

The sum of two rational numbers is `(-3)/8`. If one of them is `3/16` find the other,

The sum of two rational numbers is -5. If one of them is `(-52)/25`, find the other.

What rational number should be added to `- 3/16` to get `11/24`

What rational number should be added to `(- 3)/5` to get 2?

What rational number should be subtracted from `- 5/12` to get `5/24`.

What rational number should be subtracted from `5/8` to get `8/5`.

Evaluate: `(7/8 xx 24/21) + ((-5)/9 xx 6/-25)`

Evaluate: `(8/15 xx (-25)/16) + ((-18)/35 xx 5/6)`

Evaluate: `(18/33 xx (-22)/27) + ((13)/25 xx (-75)/26)`

Evaluate:

`((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`

The product of two rational numbers is 24. If one of them is `- 36/11`, find the other.

By what rational number should we multiply `20/-9`, so that the product may be `(-5)/9`?