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pickupchik [31]
3 years ago
15

Explain why you can find 5÷1/3 by multiplying 5 by 3.

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Dividing by a fraction is the same as multiplying the reciprocal of the fraction. What is the reciprocal of a fraction? It's essentially the same fraction, just the numerator and denominator switching places (flipping the fraction upside down). Knowing this, the following is true:

5/\frac{1}{3} = 5*\frac{3}{1}

We also need to know that whenever the denominator of a fraction is 1, the fraction is equal to the numerator itself. Knowing this, the following is also true:

\frac{3}{1}=3

Applying this to the first concept, we can say that:

5*\frac{3}{1} = 5*3

I hope this helps!

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