4 divided by 2/3

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4 divided by 2/3 (4 ÷ 2/3) = 6

Step-by-step explanation:

When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.

Also a reciprocal is the same as taking something to the power of -1.

When you take the reciprocal of a fraction, just flip the numerator, and denominator.

b^-1 = 1/b.

b^-n = 1/b^n.

(a/b)^-1 = b/a

a/b^-1 = ab

Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.