Important Questions: Fractions and Decimals - Class 7 MCQ

where W is the whole number, N is the numerator and D is the denominator. So, 

To find the sum of    Find the L.C.M. of the denominators and then add them. L.C.M. of 4, 5 and 6 is 60. 

= (45 + 70 + 96) / 60

= 211 / 60

On subtracting 11/35 from 13/15, we get

A proper fraction is a fraction where the numerator is smaller than the denominator. 21/23 

Let's denote:

• Total number of pages in the book as x

Understanding the problem:

• Guru reads 3/5 of the book.
• Remaining pages = 80

Setting up the equation:

• If Guru reads 3/5 of the book, then he has 2/5 of the book left to read.
• We know that 2/5 of the book is equal to 80 pages.

So, we can write the equation:

• (2/5) * x = 80

Solving the equation:

To find x, we can multiply both sides of the equation by 5/2:

• x = 80 * (5/2)
• x = 40 * 5
• x = 200

Therefore, the total number of pages in the book is 200.

• Divide 49 by 7.
• 49 litres divided by 7 equals 7 litres.

The product of a fraction and its reciprocal is always 1.

In the case of a whole number, think of it as having a denominator of 1: The reciprocal of 5 is 1/5.

multiplying 5 and 1/5 gives 1.

Every number has a reciprocal except for 0.

• Start with the desired fraction: 26/27.
• Subtract the given fraction: 26/27 - 21/27.
• Since the denominators are the same, subtract the numerators: 26 - 21 = 5.
• The result is 5/27.
• Therefore, adding 5/27 to 21/27 gives 26/27.

Fractions with different denominators are known as unlike fractions.

Here are some key points to understand:

• Unlike fractions have different denominators, such as 1/3 and 1/4.
• They require a common denominator for addition or subtraction.
• In contrast, like fractions have the same denominator, making calculations easier.

8/11   to make numerator 40 multiply , numerator and denominator by 5
8x5 = 40  11 x5 = 55
so 40/55

A unit fraction is a positive fraction that has 1 (one) as its numerator. Examples of unit fractions include:

• 1/2
• 1/3
• 1/4
• 1/5

These fractions are called unit fractions because they represent a single equal part of a whole.

An Improper fraction is one in which the numerator is greater than or equal to the denominator.

• Like (A) refers to fractions with the same denominator, not related to the size of the numerator.
• Improper (B) refers to fractions where the numerator is greater than or equal to the denominator.
• Proper (C) refers to fractions where the numerator is smaller than the denominator.
• Mixed (D) refers to a combination of a whole number and a fraction, not directly concerned with the size of the numerator or denominator.

Thus, the correct answer is B: Improper.

Given the equation P/q = s/t, we can derive the following relationships:

• Cross-multiplying gives us pt = sq.

• This means that pt is equal to sq, confirming option C.

To summarise:

• The equation P/q = s/t implies pt = sq.
• Thus, option C is the correct answer.

(i) change mix fraction into normal fraction 
(ii) send 3 on LHS
(iii)  remember  sign would change
(iv) take LCM

12/30 = 2/5 is the required lowest form.
dividing numerartor and denominator by 6

Multiply numerator and denominator of 2/5 by 2, we get 4/10
On adding 4/10 and 3/10, we get 7/10