Explanation

To compare fractions, convert them to decimal values:

7/9 = 0.777

5/6 = 0.833

8/9 = 0.888

8/7 = 1.142

The smallest value among them is 7/9.

Explanation

To find the quotient, we need to divide the two fractions:

(64/63) ÷ (108/117)

= (64/63) × (117/108)

= (64 × 117) / (63 × 108)

= 7488 / 6804

= 208 / 189

Explanation

The equation 3(4x) = (4x)3 shows that the order of multiplication does not affect the result.

This is the Commutative Property of Multiplication, where a × b = b × a.

Explanation

To find 3/7 of 14:

(3/7) * 14 = 3 * 2 = 6

Explanation

The sum of two whole numbers is always a whole number — this is called closure property of addition.

Whole numbers include 0 and all positive integers (0, 1, 2, 3, ...).

Explanation

 Third integer is x + 4 = 11 + 4 = 15. 

Explanation

To check if a number is exactly divisible by 4, we can check if the last two digits form a number that is divisible by 4.

2000: Last two digits are 00, which is divisible by 4.

Since 2000 ends in 00, it is exactly divisible by 4.

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Multiply the numerators (numbers on top):

1 × 3 × 6 = 18

Multiply the denominators (numbers on the bottom):

10 × 5 × 5 = 250

Write the result as a fraction:

18/250

Simplify the fraction by dividing both numbers by their greatest common divisor (GCD), which is 2:

18 ÷ 2 = 9

250 ÷ 2 = 125

So, the simplified result is:

9/125

Explanation

= (25/100)*25

= (25*25)/100

= 625/100

= 6.25

Explanation

√0.49 = √(49/100)

= √49 / √100

= 7/10

= 0.7