Test: Fractions and Decimals - Grade 7 MCQ

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.

- 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. 

First, we convert each fraction into a like fraction.
2/9 = (2 x 9)/(9 x 7) = 14/63 (Multiplying both numerator and denominator with 9)
2/3 = (2 x 21)/(3 x 21) = 42/63 (Multiplying both numerator and denominator with 21)
8/21 = (8 x 3)/(21 x 3) = 24/63.(Multiplying both numerator and denominator with 3)
If denominators are the same, then, greater the numerator, the greater will be the fraction.
∵ 42 > 24 > 14
⇒ (2/3) > (8/21) > (2/9)
Thus, the correct answer is Option A.

Part of apple eaten by Ritu = 4/7

Part of apple eaten by Somu = 1/1 - 4/7 
= 7−4 / 5 = 3/7 
Answer is 3/7

Side of square = 2/a
⇒ Perimeter = 4 x side of square = 4 x 2/a = 8/a
Thus the correct answer is Option D.

Given numbers are: 0.3 , 3 , 0.03 and 0.002 
Average =  Sum of numbers divided by total numbers
⇒ Average = (0.3 + 3 + 0.03 + 0.002)/4 = 3.332 / 4 = 0.833
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.

The average of 4.2, 3.8, 7.6

= (4.2 + 3.8 + 7.6)/3

= 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-by-step explanation:
Now taking an arbitrary fraction like -
(a+b)/c
This can be also written as a sum of a first divided by c and b divided by c.
like, 
a/c + b/c
Now from the question, the given fraction is 
(p+q)/q
Now, we will do the same steps first divide p by q and then divide q by q and take the sum of them
p/q + q/q 
Now, q and q will divide and give 1 since they are the same numbers.

• 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.

(2/3) of 66 = (2/3) x 66 = 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.

2.05 x 1.3 = 2.665
Thus, correct answer is Option A.

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

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

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

Therefore, the total cost of the fruits is $7.82.