simplify 4 6 over 30 by rationalizing the denominator

To simplify 4/6 over 30, first simplify 4/6 by dividing both the numerator and denominator by 2 to get 2/3. Then, to rationalize the denominator of 2/3 over 30, multiply both the numerator and denominator by 10 to get:

2/3 ÷ 30 = (2/3) / (30/1) = (2/3) × (1/30) = 2/90

Simplifying further, we can divide both the numerator and denominator by 2 to get:

2/90 = 1/45

Therefore, 4/6 over 30, simplified and with a rationalized denominator, is equal to 1/45.