Selina solutions for Mathematics [English] Class 6 chapter 14 - Fractions [Latest edition]

For expression given below, write a fraction:

2 out of 7 = ………....

For expression given below, write a fraction:

5 out of 17 = ………..

For expression given below, write a fraction:

three-fifths = ………

Fill in the blank:

`5/8` is ................ fraction.

Fill in the blank:

`8/5` is ................ fraction.

Fill in the blank:

`(-15)/(-15)` is ................ fraction.

Fill in the blank:

The value of `5/5` = ............... .

Fill in the blank:

The value of `5/(-5)` = ............... .

Fill in the blank:

`3 3/10` is ................. fraction.

Fill in the blank:

`2/15` and `7/15` are ................. fractions.

Fill in the blank:

`23/12` and `23/15` are ................. fractions.

Fill in the blank:

`6/15` and `28/70` are ................. fractions.

Fill in the blank:

`8/24` and `8/32` are not ................. fractions.

Fill in the blanks:

`3 2/13=(3xx13+.......)/13=...................`

Fill in the blanks:

`-4 3/5` = .......... = ........................... .

From the following fractions, separate proper fractions:

`2/9,4/3,7/15,11/20,20/11,18/23and27/35.`

From the following fractions, separate improper fractions:

`2/9,4/3,7/15,11/20,20/11,18/23and27/35.`

Change the following mixed fraction to improper fraction:

`2 1/5`

Change the following mixed fraction to improper fraction:

`3 1/4`

Change the following mixed fraction to improper fraction:

`7 1/8`

Change the following mixed fraction to improper fraction:

`2 1/11`

Change the following improper fraction to mixed fraction:

`100/17`

Change the following improper fraction to mixed fraction:

`81/11`

Change the following improper fraction to mixed fraction:

`-209/7`

Change the following improper fraction to mixed fraction:

`-113/15`

Change the following groups of fractions to like fractions:

`1/3,2/5,3/4,1/6`

Change the following groups of fractions to like fractions:

`5/6,7/8,11/12,3/10`

Change the following groups of fractions to like fractions:

`2/7,7/8,5/14,9/16`

Reduce the given fraction to their lowest term:

`8/10`

Reduce the given fraction to their lowest term:

`50/75`

Reduce the given fraction to their lowest term:

`18/81`

Reduce the given fraction to their lowest term:

`40/120`

Reduce the given fraction to their lowest term:

`105/70`

State, whether true or false?

`2/5=10/15`

State, whether true or false?

`35/42=5/6`

State, whether true or false?

`5/4=4/5`

State, whether true or false?

`7/9=1 1/7`

State, whether true or false?

`9/7=1 1/7`

Which fraction is greater?

`3/5` or `2/3`

Which fraction is greater?

`5/9` or `3/4`

Which fraction is greater?

`11/14` or `26/35`

Which fraction is smaller?

`3/8` or `4/5`

Which fraction is smaller?

`8/15` or `4/7`

Which fraction is smaller?

`7/26` or `10/39`

Arrange the given fractions in descending order of magnitude:

`5/16,13/24,7/8`

Arrange the given fractions in descending order of magnitude:

`4/5,7/15,11/20,3/4`

Arrange the given fractions in descending order of magnitude:

`5/7,3/8,9/11`

Arrange the given fractions in ascending order of magnitude:

`9/16,7/12,1/4`

Arrange the given fractions in ascending order of magnitude:

`5/6,2/7,8/9,1/3`

Arrange the given fractions in ascending order of magnitude:

`2/3,5/9,5/6,3/8`

I bought one dozen bananas and ate five of them. What fraction of the total number of bananas was left?

Insert the symbol ‘=’ or ‘>’ or ‘<’ between the pair of fractions, given below:

`6/11 ... 5/9`

Insert the symbol ‘=’ or ‘>’ or ‘<’ between the pair of fractions, given below:

`3/7 ... 9/13`

Insert the symbol ‘=’ or ‘>’ or ‘<’ between the pair of fractions, given below:

`56/64 ... 7/8`

Insert the symbol ‘=’ or ‘>’ or ‘<’ between the pair of fractions, given below:

`5/12 ... 8/33`

Out of 50 identical articles, 36 are broken. Find the fraction of:
(i) The total number of articles and the articles broken.
(ii) The remaining articles and the total number of articles.

Add the following fractions:

`1 3/4` and `3/8`

Add the following fractions:

`2/5,2 3/15` and `7/10`

Add the following fractions:

`1 7/8,1 1/2` and `1 3/4`

Add the following fractions:

`3 3/4,2 1/6` and `1 5/8`

Add the following fractions:

`2 8/9,11/18` and `3 5/6`

Add the following fractions:

`3 1/8,5 5/12` and `5/16`

Simplify:

`1 11/12-13/16`

Simplify:

`2 3/4-1 5/6`

Simplify:

`2 5/7+3/14-13/21`

Simplify:

`3 5/6-1/6-1 1/12`

Simplify:

`6+3/10-1 8/15`

Simplify:

`1 3/4+2 5/7-1 3/14`

Simplify:

`4+3 1/8-3 1/6`

Simplify:

`6-3 1/2-2 1/5`

Simplify:

`1 5/8-2 1/6+3 3/4`

Simplify:

`3 1/2+1 2/3-2 1/4`

Simplify:

`4 3/5-2 7/9-1 2/15-2/45`

Simplify:

`3/7xx2/5`

Simplify:

`4/9xx3/5`

Simplify:

`5/12xx8`

Simplify:

`7/6` of `3/14`

Simplify:

`3 3/8xx3 6/7`

Simplify:

`1/2` of `1/3xx3/4`

Simplify:

`3/7xx5/9xx4 1/5`

Simplify:

`1 1/3xx1 2/7` of `1 1/4`

Simplify:

`2/3÷1 1/5`

Simplify:

`4 1/2÷4/9`

Simplify:

`1÷2/5`

Simplify:

`4/9÷4/9`

Simplify:

`2 1/3÷1 3/4`

Simplify:

`2 2/3xx3 1/2÷2 4/9`

Simplify:

`1/4` of `2 2/7÷3/5`

Simplify:

`1 1/4xx1/2÷1 1/3`

Simplify:

`6 1/7xx0xx5 3/8`

Simplify:

`3/4xx1 1/3÷3/7` of `2 5/8`

Simplify:

`2 1/4÷2/7` of `1 1/3xx2/3`

Simplify:

`(3/7÷1/2)` of `1 1/7`

Simplify:

`(1 7/8÷1 1/2)` of `(8 1/3÷1 1/2)`

Simplify:

`1/3` of 60 ÷ 60

Simplify:

`5-(8/11-3 3/11)`

Simplify:

`1/2÷(7/8-3/5)`

Simplify:

`2 1/3÷(5 1/2+3 3/4)`

Simplify:

`(3 7/8-3 3/5)÷1/2`

Simplify:

`4/7÷(1/3xx2 4/5)`

Simplify:

`3/4÷(1/6÷1/2)`

Simplify:

`(1/4-1/6)` of `(2/3-5/12)xx(5/8-7/12)`

Simplify:

`(1/2+1/3)÷(1/4-1/6)`

Simplify:

`(24/35÷6/7+5/9)xx3/4`

Simplify:

`3/4` of `6 1/8-2/3` of `2 1/4`

Simplify:

`7/30` of `(1/3+7/15)÷(5/6-3/5)`

Simplify:

`2 1/2-3 1/2xx1 3/4+2 1/2`

Simplify:

`4 5/7(3 1/8÷11/12)`

Simplify:

`2/5` of `(1/7-1/12)` of `1 2/5`

Simplify:

`(1/2-1/3)(3/4-4/5)÷(1/2-2/5+1/7)`

Simplify:

`5/6-3/5(1/3+2/11)`

Simplify:

`4 2/3÷(3-1/2)+(2/5÷1 1/5)`

Simplify:

`1/2` of `40+1 3/4` of `2 2/9+2 1/5xx0`

Simplify:

`(1÷2 1/5)÷2 1/5` of `2 1/2-2`

Simplify:

`2 6/11` of `1 2/7÷2 2/11`

From a rope of `10 1/2` m long, `4 5/8` m is cut off. Find the length of the remaining rope.

A piece of cloth is 5 metre long. After washing, it shrinks by `1/25` of its length. What is the length of the cloth after washing?

I bought wheat worth Rs. `12 1/2`, rice worth Rs. `25 3/4` and vegetables worth Rs. `10 1/4`. If I gave a hundred rupee note to the shopkeeper; how much did he return to me ?

Out of 500 oranges in a box, `3/25` are rotten and `1/5` are kept for some guests. How many oranges are left in the box?

An ornament piece is made of gold and copper. Its total weight is 96 g. If `1/12` of the ornament hi copper, find the weight of gold in it.

A girl did half of some work on Monday and one-third of it on Tuesday. How much will she have to do on Wednesday in order to complete the work?

A man spends `3/8` of his money and 8 still has Rs. 720 left with him. How much money did he have at first?

In a school, `4/5` of the students are boys, and the number of girls is 100. Find the number of boys.

After finishing `3/4` of my journey, I find that 12 km of my journey is covered. How much distance is still left to be covered?

When Ajit travelled 15 km, he found that one-fourth of his journey was still left. What was the full length of the journey?

In a particular month, a man earns Rs. 7,200. Out of this income, he spends `3/10` on food, `1/4` on house rent, `1/10` on insurance, and `2/25` on holidays. How much did he save in that month?

Show that `3/7` lies between `2/5` and `5/7`.

Show that `4/5` lies between `3/4` and `5/6`.

Evaluate:

`3 5/6-1 4/15-(3 2/9-1 3/5)`

Evaluate:

`3/4` of `1 1/2÷4 1/2`

Evaluate:

`5/6` of `3/4÷7/8xx1 1/2`

Evaluate:

`1/3+7/9÷(7/10xx1 1/4)`

Evaluate:

`1 4/13` of `2 2/7÷68/91-(1 1/2-1 1/3)`

Evaluate:

`8-{5 1/3-(3-2 1/2)}`

Mr. Mehra gave one-third of his money to his son, one-fifth of his money to his daughter, and the remaining amount to his wife. If his wife got Rs. 91,000, how much money did Mr. Mehra have originally?

A sum of Rs. 84,000 is divided among three persons A, B, and C. If A gets one-fourth of it and B gets one-fifth of it; how much did C get?

In one hour Rohit walks `3 2/5` km. How much distance will he cover in `2 1/2` hours?

An 84 m long string is cut into pieces each of length `5 1/4` m. How many pieces are obtained?

In buying a ready-made shirt-two-fifths of my pocket money is spent If Rs. 540 is still left with me, find:
(i) The money I had before I bought the shirt.
(ii) The emit of the shirt

Mohan leaves Rs. 1,20,000 to his wife and three children such that two-fifths of this money is given to his wife and the remaining is distributed equally among the children. Find, how much each child gets?

Simplify:

`3 5/8` of `2 2/3÷1 3/8`

Simplify:

`(1÷3 1/3)xx3 1/3` of `7 2/9-6`

Simplify:

`3/4xx1 1/3÷3/7` of `2 5/8`