9514 1404 393
Answer:
- invert and multiply, or
- use a common denominator
Step-by-step explanation:
There are two ways you can divide 2/3 by 1/6.
1) Division by a number is the same as multiplication by its reciprocal. The reciprocal of a fraction is the fraction obtained by swapping the numerator and denominator. So, division by 1/6 is the same as multiplication by 6/1.
2/3 ÷ 1/6 = 2/3 × 6/1
The result of this multiplication is the product of the numerators divided by the product of the denominators:
2/3 × 6/1 = (2×6)/(3×1) = 12/3 = 4
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2) The fractions can be expressed with the same denominator. Then their quotient is the quotient of their numerators.
2/3 = 4/6
2/3 ÷ 1/6 = 4/6 ÷ 1/6 = 4 ÷ 1 = 4
