Fractions and Decimals - Free MCQ Practice Test with solutions, Class 7

Total number of blocks = 8
Number of shaded blocks = 1
Number of unshaded blocks = 7
⇒ Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks = 1/8.
Thus, the correct answer is Option B.

A mixed fraction is a fraction formed by combining a whole number and a proper fraction.

Thus, the correct Option B.

Total number of blocks = 8
Number of shaded blocks = 7
Number of unshaded blocks = 1
⇒ Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks = 7/8
Thus the correct answer is Option C.

(1/2) x (1/5) = 1/10

Multiply both numerators and denominators.


Thus, the correct answer is Option B.

Apala ate 3/5 of an orange.

The remaining part was eaten by Meenu.

• Total orange: 5/5
• Portion eaten by Apala: 3/5
• Remaining portion: 5/5 - 3/5 = 2/5

Therefore, Meenu ate 2/5 of the orange.

5 ÷ 5/2 is equal to:

To solve this problem, follow these steps:

• First, understand that dividing by a fraction is equivalent to multiplying by its reciprocal.
• Therefore, 5 ÷ 5/2 can be rewritten as 5 × 2/5.
• Next, simplify the expression:
  • Multiply: 5 × 2 = 10.
  • Then divide: 10 ÷ 5 = 2.

The final answer is 2.

- To convert 0.23 into a fraction, recognize the decimal represents 23 hundredths.
- This means 0.23 is equivalent to 23/100.
- The fraction 23/100 is already in its simplest form because 23 is a prime number and has no common factors with 100 other than 1.
- Therefore, the correct answer is option C: 23/100.

Explanation:

When multiplying decimals, you count the total number of decimal places in the numbers being multiplied. In this case, both numbers have 2 decimal places.

Therefore, when you multiply 0.01 by 0.01, you get 0.0001.

• Thus, the correct answer is Option A. 

Let’s convert all fractions to have the same denominator so we can easily compare them.

• 2/9
  Multiply numerator and denominator by 7 to make the denominator 63:
  (2 × 7) / (9 × 7) = 14 / 63

• 2/3
  Multiply numerator and denominator by 21 to make the denominator 63:
  (2 × 21) / (3 × 21) = 42 / 63

• 8/21
  Multiply numerator and denominator by 3 to make the denominator 63:
  (8 × 3) / (21 × 3) = 24 / 63

Now we compare:
42/63, 24/63, 14/63

So in descending order:
42/63 > 24/63 > 14/63
Which means:
2/3 > 8/21 > 2/9

Answer:
a) (2/3) > (8/21) > (2/9)

Part of apple eaten by Ritu = 4/7

Total apple is 1 which can be written as 1/1

Part of apple eaten by Somu = 1/1 - 4/7 
= 7−4 / 7 = 3/7 
Answer is 3/7

Given numbers are: 0.3 , 3 , 0.03 and 0.002 
⇒ Sum = (0.3 + 3 + 0.03 + 0.002) = 3.332 
Thus, the correct answer is Option A.

Given numbers are: 3.003 and 2.05
Sum of numbers = 3.003 + 2.05 = 5.053
Difference of numbers = 3.003 - 2.05  = 0.953
Adding the Difference of numbers to the Sum of numbers, 5.053 + 0.953 = 6.006
Thus, the correct answer is Option A.

Given: Length, L = 6.7 cm, Breadth, B = 2 cm
Area of rectangle = L x B = 6.7 x 2 = 13.4 cm²
Thus, the correct answer is Option B.

To find the sum of 4.2, 3.8, and 7.6, follow these steps:

• Add the numbers together:
  • 4.2 + 3.8 = 8
  • 8 + 7.6 = 15.6
  • S = 15.6
• Divide the sum by 3:
  • 15.6 ÷ 3 = 5.2

Therefore, the value of S/3 is 5.2.

Compute 2.5 x 0.3.
First, convert both the decimals into a fraction. That is, 

= 75/100
= 0.75 [Converting back to decimals]
Hence, the value of 2.5 x 0.3 is 0.75.

Step 1: Write the expression
(p × q) / q

Step 2: Apply the division rule
Dividing by q means we can cancel q from both the numerator and the denominator (only if q ≠ 0).

So: (p × q) / q = p × (q ÷ q)

Step 3: Simplify q ÷ q
q ÷ q = 1 (since anything divided by itself is 1, except when the denominator is 0).

Step 4: Final simplification
= p × 1
= p

• To find 3/5 of 25, you multiply 25 by 3/5.
• This can be calculated as follows: 25 x 3/5.
• First, multiply 25 by 3: 25 x 3 = 75.
• Next, divide 75 by 5: 75 ÷ 5 = 15.
• So, 3/5 of 25 equals 15, which corresponds to Option C.

(5/7) ÷ (1/2) = (5/7) x (2/1) = 10/7
Thus, the correct answer is Option C.

A fraction in which the numerator is greater than the denominator is called an improper fraction.

Option A: 20 is less than 70
Option B: 30 is less than 40
Option C: 50 is greater than 20
Option D: 70 is less than 80

Thus, option C is the correct. 

Two fractions are said to be equivalent fractions if the simplest form of both the fractions is the same.

Option A: 6/20 = 3/10
Option B: 5/20 = 1/4 
Option C: 1/40 = 1/40

Thus option A is correct.

To find two-thirds of 66, follow these simple steps:

• Multiply 66 by (2/3).

Here's the calculation breakdown:

• (2/3) × 66 = (2 × 66) / 3
• 132 / 3 = 44

Thus, the correct answer is Option D.

The product of two proper fractions is less than each of the fractions that are multiplied.
Example: 1/2 x 1/4 = 1/8
1/8 < 1/2 and 1/8 < 1/4.

Thus, the correct answer is Option B.

To calculate 2.05 × 1.3, follow these steps:

• Step 1: Multiply 2 by 1.3:
• 2 × 1.3 = 2.6
• Step 2: Multiply 0.05 by 1.3:
• 0.05 × 1.3 = 0.065
• Step 3: Add the results of the two multiplications together:
• 2.6 + 0.065 = 2.665

Thus, the correct answer is Option A (2.665).

• Price per pound of apples = $1.29
• Weight of apples = 3 pounds

Cost of Apples = 3 x 1.29 = 3.87 

• Price per pound of bananas = $0.79
• Weight of bananas = 5 pounds

Cost of Bananas = 5 x 0.79 = 3.95

Total cost = Cost of apples + Cost of bananas = 3.87 + 3.95

Therefore, the total cost of the fruits is $7.82

To add 3/4 and 1/2,

First, express 1/2 as 2/4 to make the denominators same

Then, 3/4 + 2/4 equals 5/4.