Question

Which fraction is equivalent to 30 40?
(1) 6 7 (2) 9 12 (3) 8 9 (4)

Answer 1

Answer:(2) 9/12

Explanation:

30/40 simplified is 3/4. Then, multiply both the numerator and denominator by 3. 3x3 is 9, and 4x3 is 12. So, the answer is (2), 9/12.

Answer 2

(2) 9/12

Explanation:

To find the equivalent fraction for 30/40, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Step 1: Find the GCD of 30 and 40:

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The GCD of 30 and 40 is 10.

Step 2: Divide both the numerator and the denominator by 10:

30 ÷ 10 = 3

40 ÷ 10 = 4

So, the simplified fraction equivalent to 30/40 is 3/4.

Now, let's check which option among the given choices is equivalent to 3/4.

(1) 6/7 = 0.85714286

(2) 9/12 = 0.75 = 3/4

(3) 8/9 = 0.88888889

(4) 21/30 = 0.7

Among the given options, option (2) 9/12 is equivalent to 3/4. Both fractions are simplified to 3/4, which is the correct answer.