Explanation

To evaluate the expression:

2/3 × 1/2 ÷ 1/3

First, multiply 2/3 and 1/2:

(2/3) × (1/2) = 2/6 = 1/3

Then, divide the result by 1/3:

(1/3) ÷ (1/3) = 1

Explanation

Explanation

2/5 is less than 4/5 and does not lie between 4/5 and 7/14.

5/7, 1/2, and 3/4 all fall between 4/5 and 7/14.

Explanation

The union of two sets A and B (denoted as A ∪ B) includes all elements that are in A, in B, or in both.

It represents the total collection of elements from both sets without repetition.

Explanation

A polygon having 8 sides is called octagon.

A polygon having 10 sides is called decagon.

A polygon having 4 sides is called quadrilateral.

Explanation

2² × 3² means (2 × 2) × (3 × 3) = 4 × 9 = 36.

The prime factorization of 36 is 2² × 3².

Explanation

Explanation

To solve the equation 5 - 3x = 14:

5 - 3x = 14

Subtract 5 from both sides:

-3x = 9

Divide both sides by -3:

x = -3

Explanation

To determine the smallest fraction among 17/23, 14/15, 15/19, and 16/21, we compare their decimal values:

17 ÷ 23 ≈ 0.7391

14 ÷ 15 ≈ 0.9333

15 ÷ 19 ≈ 0.7895

16 ÷ 21 ≈ 0.7619

17/23 ≈ 0.7391 is the smallest among the given fractions.

The smaller the decimal value, the smaller the fraction.

Explanation

(3x-5) = 4(x-5)

3x -5 = 4x -20 

4x -3x = 20 -5

x=15