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Chapters
2: Angles
3: Integers
▶ 4: Operations on Fractions
5: Decimal Fractions
6: Bar Graphs
7: Symmetry
8: Divisibility
9: HCF-LCM
10: Equations
11: Ratio and Proportion
12: Percentage
13: Profit – Loss
14: Banks and Simple Interest
15: Triangles and Their Properties
16: Quadrilaterals
17: Geometrical Constructions
18: Three Dimensional Shapes
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Solutions for Chapter 4: Operations on Fractions
Below listed, you can find solutions for Chapter 4 of Maharashtra State Board Balbharati for Mathematics [English] 6 Standard Maharashtra State Board.
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board 4 Operations on Fractions Practice Set 9 [Page 22]
Convert into improper fraction.
`7 2/5`
Convert into improper fraction.
`5 1/6`
Convert into improper fraction.
`4 3/4`
Convert into improper fraction.
`2 5/9`
Convert into improper fraction.
`1 5/7`
Convert into a mixed number.
`30/7`
Convert into a mixed number.
`7/4`
Convert into a mixed number.
`15/12`
Convert into a mixed number.
`11/8`
Convert into a mixed number.
`21/4`
Convert into a mixed number.
`20/7`
Write the following example using fraction.
If 9 kg of rice is shared amongst 5 people, how many kilograms of rice does each person get?
Write the following example using fraction.
To make 5 shirts of the same size, 11 metres of cloth is needed. How much cloth is needed for one shirt?
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board 4 Operations on Fractions Practice Set 10 [Page 23]
Add:
`6 1/3+2 1/3`
Add:
`1 1/4+3 1/2`
Add:
`5 1/5+2 1/7`
Add:
`3 1/5+2 1/3`
Subtract:
`3 1/3-1 1/4`
Subtract:
`5 1/2-3 1/3`
Subtract:
`7 1/8-6 1/10`
Subtract:
`7 1/2-3 1/5`
Suyash bought `2 1/2` kg of sugar and Ashish bought `3 1/2` kg. How much sugar did they buy altogether? If sugar costs 32 rupees per kg, how much did they spend on the sugar they bought?
Aradhana grows potatoes in `2/5` part of her garden, greens in `1/3` part, and brinjals in the remaining part. On how much of her plot did she plant brinjals?
Sandeep filled water in `4/7` of an empty tank. After that, Ramakant filled the `1/4` part more of the same tank. Then Umesh used the `3/14` part of the tank to water the garden. If the tank has a maximum capacity of 560 litres, how many litres of water will be left in the tank?
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board 4 Operations on Fractions Practice Set 11 [Pages 24 - 25]
What fractions do the points A and B show on the number line below?
What fractions do the points A and B show on the number line below?
What fractions do the points A and B show on the number line below?
Show the following fractions on the number line:
`3/5,6/5,2 3/5`
Show the following fractions on the number line:
`3/4,5/4,2 1/4`
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board 4 Operations on Fractions Practice Set 12 [Page 26]
Multiply:
`7/5xx1/4`
Multiply:
`6/7xx2/5`
Multiply:
`5/9xx4/9`
Multiply:
`4/11xx2/7`
Multiply:
`1/5xx7/2`
Multiply:
`9/7xx7/8`
Multiply:
`5/6xx6/5`
Multiply:
`6/17xx3/2`
Ashok Rao planted bananas on `2/7` of his field of 21 acres. What is the area of the banana plantation?
Of the total number of soldiers in our army, `4/9` are posted on the northern border and one-third of them on the northeastern border. If the number of soldiers in the north is 540000, how many are posted in the northeast?
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board 4 Operations on Fractions Practice Set 13 [Page 28]
Write the reciprocal of the following number.
7
Write the reciprocal of the following number.
`11/3`
Write the reciprocal of the following number.
`5/13`
Write the reciprocal of the following number.
2
Write the reciprocal of the following number.
`6/7`
Carry out the following division.
`2/3÷1/4`
Carry out the following division.
`5/9÷3/2`
Carry out the following division.
`3/7÷5/11`
Carry out the following division.
`11/12÷4/7`
There were 420 students participating in the Swachh Bharat campaign. They cleaned `42/75` part of the town, Sevagram. What part of Sevagram did each student clean if the work was equally shared by all?
Solutions for 4: Operations on Fractions
Balbharati solutions for Mathematics [English] 6 Standard Maharashtra State Board chapter 4 - Operations on Fractions
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Concepts covered in Mathematics [English] 6 Standard Maharashtra State Board chapter 4 Operations on Fractions are Concept of Fractions, Addition of Fraction, Subtraction of Fraction, Fraction on the Number Line, Multiplication of Fraction, Concept of Reciprocal or Multiplicative Inverse, Conversion Between Improper Fractions and Mixed Numbers, Division of Fractions.
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