# Maharashtra Board Class 5 Math Chapter 9 Decimal Fractions Solution

## Maharashtra Board Class 5 Math Solution Chapter 9 – Decimal Fractions

Balbharati Maharashtra Board Class 5 Math Solution Chapter 9: Decimal Fractions. Marathi or English Medium Students of Class 5 get here Decimal Fractions full Exercise Solution.

 Std Maharashtra Class 5 Subject Math Solution Chapter Decimal Fractions

### PROBLEM SET 36

Write the following mixed fractions in decimal form and read them aloud

The decimal place is created for writing a fraction. When writing numbers, a dot (.) is written after the last digit of the whole part of a number to indicate the end of that part.

This symbol is called a decimal point. The decimal point is used to write 8/10 as 0.8. This is read as ‘zero point eight’.

(1) 3.9

(2) 1.4

(3) 5.3

(4) 0.8

(5) 0.7

### PROBLEM SET 37

Write the following mixed fractions in decimal form and read them aloud.

(1)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 9 1 9.1 Nine point one

(2)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 9 0 1 9.01 Nine point zero one

(3)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 4 5 3 4.53 Four point fifty three

(4)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 7 8 0.78 Zero point seven eight

(5)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 5 0.05 Zero point zero five

(6)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 5 0 0.5 Zero point five

(7)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 2 0 0.2 Zero point two

(8)

 Fractions Tens Units Tenths Hundredths Decimal fractions in figures Decimal fractions in words 2 0 0.2 Zero point two

### PROBLEM SET 38

Read the decimal fraction and write down the place value of each digit.

(1) 6.13

 Digits 6 1 3 Place Hundreds Tens Units Tenths Hundredths Place value 6×1 = 6 1×1/10 = 0.1 3×1/100 = 0.03

(2) 48.84

 Digits 4 8 8 4 Place Hundreds Tens Units Tenths Hundredths Place value 4×10 = 40 8×1 = 8 8×1/10 = 0.8 4×1/100 = 0.04

(3) 72.05

 Digits 7 2 0 5 Place Hundreds Tens Units Tenths Hundredths Place value 7×10 = 70 2×1 = 2 0 5×1/100 = 0.05

(4)3.4

 Digits 3 4 Place Hundreds Tens Units Tenths Hundredths Place value 3×1 = 3 4×1/10 = 0.4

(5) 0.59

 Digits 0 5 9 Place Hundreds Tens Units Tenths Hundredths Place value 0 5×1/10 = 0.5 9×1/100 = 0.09

### PROBLEM SET 39

1.) Write how many rupees and how many paise.

(1) 58.43

1 rupee = 100 paise

So, 58 rupees = (58×100) = 5800 paise

0.40 rupees = 40 paise

0.03 rupees = 3 paise

Answer = 58 rupees 43 paise.

(2) 9.30

1 rupee = 100 paise

So, 9 rupees = (9×100) = 900 paise

0.30 rupees =30paise

Answer = 9 rupees 30 paise.

(3) 2.30

1 rupee = 100 paise

So, 2 rupees = (2×100) = 200 paise

0.30 rupees = 30 paise

Answer = 2 rupees 30 paise.

(4) 2.3

1 rupee = 100 paise

So, 2 rupees = (2×100) = 200 paise

0.30 rupees = 30 paise

Answer = 2 rupees 30 paise.

2.) Write how many rupees in decimal form.

(1) 6 rupees 25 paise

1 paise  = 0.01 rupees

25 paise = 0.25 rupees

So, 6 rupees 25 paise  = 6.25 rupees

(2) 15 rupees 70 paise

1 paise  = 0.01 rupees

70 paise = 0.70 rupees

So, 15 rupees 70paise  = 15.70 rupees

(3) 8 rupees 5 paise

1 paise  = 0.01 rupees

5 paise = 0.05 rupees

So, 8 rupees 5 paise  = 8.05  rupees

(4) 22 rupees 4 paise = 22.04 rupees

(5) 720 paise  = 7.20 rupees

1. Write how many metres and how many centimetres.

(1) 58.75 m

1 m = 100 cm

58 m = (58×100) = 5800 cm

0.70 m = 70 cm

0.05 m = 5cm

Answer = 58 meters 75 centimeter

(2) 9.30 m

1 m = 100 cm

9 m = (9×100) = 900 cm

0.30 m = 30 cm

Answer = 9 meter 30 centimeter

(3) 0.30 m

0.30 m = 30 cm

(4) 0.3 m

0.3 m or 0.30 m = 30 cm

(5) 1.62 m

1 m = 100 cm

1 m = (1×100) = 100 cm

0.60 m = 60 cm

0.02 m = 2cm

Answer = 1 meters 62 centimeter

(6) 91.34 m = 91 meter 34 centimeter

(7) 7.02 m = 7 meter 2 centimeter

(8) 0.09 m = 9 centimeter

1. Write how many metres in decimal form.

(1) 1 m 50 cm

1 cm = 0.01 meter

50  cm = 0.50 meter

so, 1 m 50 cm = 1.50 meter

(2) 50 m 40 cm

1 cm = 0.01 m

40 cm = 0.40 m

so, 50 m 40 cm = 50.40 m

(3) 50 m 4 cm

1 cm = 0.01 m

4 cm = 0.4 m

so, 50 m 4 cm = 50.4 m

(4) 734 cm

1 cm = 0.01 m

100 cm = 1 m

700 cm = 7 m

30 cm = 0.30 m

4 cm = 0.04 m

so, 734 cm = 7.34 m

(5) 10 cm

1 cm = 0.01 m

10 cm = 0.10 m

so, 10 cm = 0.10 m

(6) 2 cm

1 cm = 0.01 m

So, 2 cm = 0.02 m

5.) Write how many centimetres and how many millimetres.

(1) 6.9 cm

1 centimeter = 10 milimeters

6 cm = 60 mm

0.9 cm = 9 mm

So, 6,9 cm =  6 centimeter 9 milimeter

(2) 20.4 cm

1 centimeter = 10 milimeters

20 cm = 200 mm

0.4 cm = 4mm

So, 20.4 cm = 20 centimeter 4 milimeter

(3) 0.8 cm

1 centimeter = 10 milimeters

So, 0.8 cm = 8 mm

(4) 0.5 cm

1 centimeter = 10 milimeters

0.5 cm = 5 mm

6.) Write how many centimetres in decimal form.

(1) 7 cm 1 mm

1 cm = 10 mm

7 cm = 70 mm

1 mm = 0.1 cm

So, 7 cm 1 mm = 7.1 cm

(2) 16 mm

1 mm = 0.1 cm

10 mm = 1 cm

6 mm = 0.6 cm

16 mm = 1.6 cm

(3) 144 mm

1 mm = 0.1 m

10 mm = 1 cm

100 mm = 10 cm

40 mm = 4 cm

4 mm = 0.4 cm

So, 144 mm = 14.4 centimeter

(4) 8 mm

1 mm = 0.1cm

8 mm = 0.8 cm

### PROBLEM SET 40

Write the following fractions as decimal fractions.

(1) two and a half  = 2.5

a half = ½

To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.

½ =  1×5/2×5 = 5/10  so, the decimal form will be 0.50

(2) two and a quarter = 2.25

a quarter =  ¼

To convert this fraction into decimal form, the denominator of ¼ must be converted into an equivalent fraction with denominator 100

¼ = 1×25/4×25 = 25/100  so, the decimal form will be 0.25

(3) two and three quarters = 2.75

Three quarter =  ¾

To convert this fraction into decimal form, the denominator of ¾ must be converted into an equivalent fraction with denominator 100

¾  = 3×25/4×25 = 75/100  so, the decimal form will be 0.75

(4) ten and a half = 10.5

a half = ½

To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.

½ =  1×5/2×5 = 5/10  so, the decimal form will be 0.50

(5) fourteen and three quarters = 14.75

Three quarter =  ¾

To convert this fraction into decimal form, the denominator of ¾ must be converted into an equivalent fraction with denominator 100

¾  = 3×25/4×25 = 75/100  so, the decimal form will be 0.75

(6) sixteen and a quarter = 16.25

a quarter =  ¼

To convert this fraction into decimal form, the denominator of ¼ must be converted into an equivalent fraction with denominator 100

¼ = 1×25/4×25 = 25/100  so, the decimal form will be 0.25

(7) twenty-eight and a half = 28.5

a half = ½

To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.

½ =  1×5/2×5 = 5/10  so, the decimal form will be 0.50

### PROBLEM SET 41

1.) Convert the following into decimal fractions and add them.

(1) ‘One and a half metre’ and ‘two and a half metres’

One and half metre = 1.5 meter

Two and half meter = 2 meter

 1 . 5 +      2 3 . 5

(2) ‘Four and three quarter rupees’ and ‘seven and a quarter rupees’

Four and three quarter = 4.75

Seven and a quarter = 7.25

 11 4.75 +7.25 12.00

(3) ‘Six and a half metres’ and ‘three and three quarter metres’.

Six and half metres = 6.5 metres

Three and three quarter metres = 3.75 metres

 1 6.5 +3.75 10.25

2.)

(1) 23.4 + 87.9

 1 3 23.4 +87.9 111.3

(2) 35.74 + 816

 1 1 35.74 +816.60 852.34

(3) 6.95 + 47.88

 1 11 6.95 +47.88 54.83

(4) 41.03 + 9.98

 1 . 11 41.03 +9.98 51.01

3.)

(1) 51.4 cm + 68.5 cm

 51.4 +68.5 119.9

(2) 94.7 m + 1738.45 m

 11 1 1738.45  + 94.7 1833.15

(3)  5158.75 +  841.25

 111 11 5158.75 +841.25 6000.00

### PROBLEM SET 42

1.) Subtract the following :

(1) 25.74 – 13.42

 H T U Tenths Hundredths 2 1 5 3 . . 7 4 4 2 1 2 . 3 2

(2) 206.35 – 168.22

 H T U Tenths Hundredths 1 1 2 1 0 6 6 8 . . 3 2 5 2 0 3 8 . 1 3

(3) 63.4 – 31.8

 H T U Tenths Hundredths 1 6 3 3 1 . . 4 8 3 1 . 6

(4) 63.43 – 31.8

 H T U Tenths Hundredths 6 3 3 1 . . 4 8 3 0 3 1 6 3

(5) 63.4 – 31.83

 H T U Tenths Hundredths 1 1 6 3 3 1 . . 4 8 0 3 3 1 . 5 7

(6) 8.23 – 5.45

 H T U Tenths Hundredths 1 1 8 5 . . 2 4 3 5 2 . 7 8

(7) 18.23 – 9.45

 H T U Tenths Hundredths 1 1 1 1 8 9 . . 2 4 3 5 0 8 . 7 8

(8) 78.03 – 41.65

 H T U Tenths Hundredths 1 1 7 4 8 1 . . 0 6 3 5 3 6 . 3 8

2.) Vrinda was 1.48 m tall. After a year, her height became 1.53 m. How many centimetres did her height increase in a year ?

Vrinda’s height was = 1.48 m

Her height after 1 year = 1.53

So calculating her height increase,

 T U Tenths Hundredths 1 1 1 . . 5 4 3 8 0 . 0 5

1 m = 100 cm

0.05 m = 5 cm

Answer = her height increased 5 centimetres in a year.

Updated: June 21, 2021 — 4:47 pm