Responses
8÷2 and 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
5÷1/6=5⋅6/1
5 divided by Start Fraction 1 over 6 End Fraction equals 5 times Start Fraction 6 over 1 End Fraction
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
6÷1 and 1/6=6⋅7/6
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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 statement illustrates that dividing by a fraction (in this case, \( \frac{1}{6} \)) is equivalent to multiplying by its reciprocal (which is \( 6 \)). Thus, it clearly demonstrates the relationship between division and multiplication by a reciprocal.
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