Fraction | MCQs

Explanation

3/4=0.75

5/6=0.833

1/2=0.5

2/3=0.66

4.5=0.8

9/10=0.9

Clearly 0.8 lies between 0.75  and .833

4/5 lies between 3/4 and 5/6 .

Explanation

Let the number be x.

Given:

3​/11×x=22

To find x, multiply both sides by3​/11​:

x=22×11/3​=242/3​

But this gives a fractional number — let's double-check:

Actually, it's simpler to find 6/11​ of the number without finding the whole number.

We know:

3​/11​ of number =22

So, 1 part (i.e., $frac{1}{11}$) = 22/3​

Then:

6/11​=6×(22/3​)=132​/3=44

Explanation

We know that:

x × x = x²

Reciprocal of x = 1/x

According to the problem:

(x × x) ÷ (1/x) = 18/26 × 27

Simplifying the equation:

x² ÷ (1/x) = 18/26 × 27

x³ = 18/26 × 27

Now, let's solve for x:

x³ = 486/26

x³ = 18.69 (approximately)

x = ∛(18.69) ≈ 2.67

Explanation

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Let the number be x

1/4 of the number = 1/4(x) =x/4

1/3 of the number = 1/3(x) =x/3

1/4 of a number subtracted from 1/3 of the number gives 12.

x/3-x/4 =12

x/3×4/4 - x/4×3/3 =12

4x/12 - 3x/12 =12

(4x-3x)/12=12

4x-3x=12×12

Explanation

• An improper fraction is a fraction where the degree of the numerator (the top number) is greater than or equal to the degree of the denominator (the bottom number).
• Examples include fractions like 3/2, 5/4, or 7/3.

Explanation

To find the percentage, divide 25 by 75 and multiply by 100:

25 ÷ 75 = 0.33

0.33 × 100 = 33%

Explanation

1/0.02= 50

Explanation

9/11 + 5/7 = 3/2

Explanation

x = 7 — 4√3, we are required to find x + 1/x.

1/x = 1/(7 — 4√3)

Rationalising 1/x,

1/x = {1/(7 —4√3)} × {(7 + 4√3)/7 + 4√3)} = {(7 + 4√3)}/{7² — 4²(√3)²} = (7 + 4√3)/(49 — 48) = 7 + 4√3.

Therefore

x + 1/x = 7 — 4√3 + 7 + 4√3 = 14.

Explanation

Let, the number be x.

Given, one-third of one-fourth of the number is 15.

Or, (1/3)(1/4)x = 15

So, x = 15*3*4 = 180.

Now, three-tenths of that number will be ,(3/10)x = (3/10)*180 = 18*3 = 54.