Worksheet Question Answers: Fractions and Decimals Class 7 Worksheet Maths

Ans:  The correct answer is Option (c)  

Ans. The correct answer is Option (b)

Ans: The correct answer is Option (c); shaded reason = 4/5

Ans: The correct answer is Option (a) One fifth of total number of flowers = total flowers ÷ 5   = 20 ÷ 5= 4

Ans. True

A decimal fraction is a fraction where the denominator is a power of 10, such as 10, 100, 1000, and so on. These fractions can be easily represented as decimals. For example:

In each case, the denominator is a power of 10, and the fraction is written as a decimal by placing the appropriate number of digits after the decimal point.  

Ans. False 

"a fraction with a larger numerator is always smaller than a fraction with a smaller numerator" is not true. The size of a fraction is determined by both its numerator and denominator, not just the numerator.

Ans. True

Yes, like decimals have the same number of decimal places. This term is often used to make comparing or performing arithmetic operations with decimals easier.

Ans. False

Natural numbers cannot typically be expressed as proper fractions. A proper fraction is defined as a fraction where the numerator is less than the denominator, resulting in a value less than 1. Natural numbers, such as 1, 2, 3, etc., are whole numbers greater than 0 and do not fit the criteria of a proper fraction because their value is always 1 or greater.

Ans. True

Ans. False

A proper fraction is a fraction where the numerator is less than the denominator. When you take the reciprocal of such a fraction, the numerator becomes larger than the denominator, resulting in an improper fraction.

Ans. False

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. When you take the reciprocal of such a fraction, the numerator becomes smaller than the denominator, resulting in a proper fraction.

Ans. True

Ans: 

Ans: 4 Toffees

Karim had 20 toffees, and he shared them equally with his four friends. To find out how many toffees each person got, we need to divide the total number of toffees by the number of people.

Total number of toffees = 20 Number of people (Karim and his four friends) = 4 + 1 (Karim himself) = 5

So, each person got =4 toffees.

Ans: 40.6 km

To find out how long 88.6 km is compared to 48 km, you would subtract 48 km from 88.6 km:

$88.6km-48km=40.6km88.6\; \backslash text\{\; km\}\; -\; 48\; \backslash text\{\; km\}\; =\; 40.6\; \backslash text\{\; km\}$88.6 km−48 km=40.6 km

So, 88.6 km is 40.6 km longer than 48 km.

Ans: 17.84

To find the cost of one pen, you need to divide the total cost of 20 pens by the number of pens:

Total cost of 20 pens = ₹ 356.80

Cost of one pen = ₹ 356.80 / 20 = ₹ 17.84

Therefore, the cost of one pen is ₹ 17.84.

Ans: Karina, 50 g

Total for Karina = 5,500 g + 3,250 g = 8,750 g 

Total for Shivani = 4,200 g + 4,500 g = 8,700 g 

Comparing the totals, Karina bought more fruits, and the difference in quantity is: $8,750g\; (Karina)-8,700g\; (Shivani)=50g8,750\; \backslash text\{\; g\; (Karina)\}\; -\; 8,700\; \backslash text\{\; g\; (Shivani)\}\; =\; 50\; \backslash text\{\; g\}$8,750 g (Karina)−8,700 g (Shivani)=50 g

So, Karina bought more fruits than Shivani, and the difference is 50 grams.

Ans: 
(a) 4.730 kg
Start by dividing 4730 by 1000:
4730 g ÷ 1000 = 4.730 kg
Thus, 4730 g is equal to 4.730 kg.

(b) 8.004 kg
First, convert the grams to kilograms. Since 4 grams is a fraction of a kilogram, we convert it by dividing by 1000:

4g ÷ 1000 = 0.004kg

Now, add this to the 8 kg:

$\hspace{0.17em}kg8\; \backslash ,\; \backslash text\{kg\}\; +\; 0.004\; \backslash ,\; \backslash text\{kg\}\; =\; 8.004\; \backslash ,\; \backslash text\{kg\}$8 kg + 0.004 kg = 8.004 kg

Therefore, 8 kg 4 g is equal to 8.004 kg.

Ans: 3/5 part Somu had the large share, 1/5

Ans: 
(a) 1/4      

(b) 0.95

Ans: (a) 1
(b) 12
(c) 2.1
(d) 1/3
(e) 0.356

Ans:

Ans: 

i). There are 2 shaded parts.

The total number of parts is 4.

Thus, the required fraction representing the shaded part is 2 / 4 or 1 / 2.

ii). There are 8 shaded parts.

The total number of parts is 9.

Thus, the required fraction representing the shaded part is 8 / 9.

iii). There are 4 shaded parts.

The total number of parts is 8.

Thus, the required fraction representing the shaded part is 4 / 8 or 1 / 2.

iv). There is 1 shaded part.

The total number of parts is 4.

Thus, the required fraction representing the shaded part is 1 / 4.

v). There are 3 shaded parts.

The total number of parts is 7.

Thus, the required fraction representing the shaded part is 3 / 7.

vi). There are 3 shaded parts.

The total number of parts is 12.

Thus, the required fraction representing the shaded part is 3 / 12 or 1 / 4.

vii). There are 10 shaded parts.

The total number of parts is 10.

Thus, the required fraction representing the shaded part is 10 / 10 or 1 whole.

viii). There are 4 shaded parts.

The total number of parts is 9.

Thus, the required fraction representing the shaded part is 4 / 9.

ix). There are 4 shaded parts.

The total number of parts is 8.

Thus, the required fraction representing the shaded part is 4 / 8 or 1 / 2.

x). There is 1 shaded part.

The total number of parts is 2.

Thus, the required fraction representing the shaded part is 1 / 2.

Ans:

Ans: 

Ans: whole
In a fraction, $aa$ is known as the numerator, and $bb$ is the denominator. Both $aa$ and $bb$ must be whole numbers because fractions represent parts of a whole, and the denominator cannot be zero, as division by zero is undefined.

Ans: simplest
A fraction is in its simplest form when it is reduced to the lowest possible terms. This means that there are no common factors (other than 1) between the numerator and denominator. For example, the fraction $\frac{4}{8}\backslash frac\{4\}\{8\}$ can be simplified to $\frac{1}{2}\backslash frac\{1\}\{2\}$, which is its simplest form.

Ans: equivalent, same
Equivalent fractions are different fractions that represent the same value or proportion of a whole. For example, $\frac{1}{2}\backslash frac\{1\}\{2\}$ and $\frac{2}{4}\backslash frac\{2\}\{4\}$ are equivalent because they both represent half of a whole.

Ans: less
Proper fractions are fractions where the numerator is less than the denominator (e.g., $\frac{3}{4}\backslash frac\{3\}\{4\}$). When multiplying two proper fractions, the result is always less than either of the original fractions because the product is a part of a part. For example, $\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}\backslash frac\{1\}\{2\}\; \backslash times\; \backslash frac\{1\}\{3\}\; =\; \backslash frac\{1\}\{6\}$, which is less than both $\frac{1}{2}\backslash frac\{1\}\{2\}$ and $\frac{1}{3}\backslash frac\{1\}\{3\}$.

Ans: greater

Ans: decimal fraction

Ans: 11.5

Ans:  0.125

Ans:  less, greater

Ans: right