Divide a fraction
multiply by its reciprocal
To divide a fraction, you need to multiply it by its reciprocal. That is, to divide one fraction by another, flip the second fraction (take its reciprocal), and then multiply the first fraction by the flipped second fraction.
For example, consider the fractions 2/3 and 1/4. To divide 2/3 by 1/4, we need to multiply 2/3 by the reciprocal of 1/4, which is 4/1 (or simply 4), flipped as 1/4. Therefore:
(2/3) ÷ (1/4) = (2/3) x (4/1)
Now we multiply the numerators and the denominators:
(2 x 4) / (3 x 1) = 8/3
Therefore, 2/3 ÷ 1/4 = 8/3.
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