Which equation shows that multiplying by a reciprocal is the same as dividing by a number?(1 point)

Question

Responses

7÷2/3=1/7⋅3/2
7 divided by Start Fraction 2 over 3 End Fraction equals Start Fraction 1 over 7 End Fraction times Start Fraction 3 over 2 End Fraction

8÷2 3/8=1/8⋅19/8
8 divided by 2 Start Fraction 3 over 8 End Fraction equals Start Fraction 1 over 8 End Fraction times Start Fraction 19 over 8 End Fraction

6÷1 1/6=6⋅7/6
6 divided by 1 Start Fraction 1 over 6 End Fraction equals 6 times Start Fraction 7 over 6 End Fraction

5÷1/6=5⋅6/1

Answer 1

The equation that shows that multiplying by a reciprocal is the same as dividing by a number is:

5 ÷ 1/6 = 5 ⋅ 6/1

This equation states that dividing by \( \frac{1}{6} \) is the same as multiplying by its reciprocal \( 6 \).