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3 1/3 divided by 2/3

2 Answers

5 votes

Answer:

5

Explanation:

Expression: 3 ¹/₃ ÷ ²/₃

Mixed to improper: ¹⁰/₃ ÷ ²/₃

Divide by fraction = multiply by its reciprocal:

Change: ¹⁰/₃ × ³/₂

Simplify: ¹⁰/₁ × ¹/₂

Simplify: ⁵/₁ × ¹/₁

Multiply: 5

User Alex Lyman
by
4.8k points
6 votes

Answer:

5

Explanation:

(3 1/3)/(2/3) = (10/3)/(2/3) = 10/2 = 5

In the above, both the numerator fraction and the denominator fraction have the same denominator (3), so the result is the ratio of their numerators.

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The other way to divide fractions is to "invert and multiply". For this, the denominator gets inverted (from 2/3 to 3/2) and that is then used to multiply the numerator.

(3 1/3)/(2/3) = (10/3) · (3/2) = (10·3)/(2·3) = 10/2 = 5

You will note that the denominators of 3 cancel, resulting in 10/2 as above.

User Ari Ronen
by
4.9k points