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Which division expression is equivalent to 4 1/3 divided -5/6

1 Answer

4 votes

Answer:

-78/15

Explanation:

To divide fractions, we first need to convert the mixed number 4 1/3 to an improper fraction. To do this, we can multiply the denominator of the fraction (3) by the whole number (4) and add the numerator (1) to get the new numerator. The denominator remains the same:

4 1/3 = (4*3 + 1) / 3

= 13 / 3

We can then divide the two fractions by multiplying the numerator of the first fraction by the reciprocal of the second fraction:

(13/3) / (-5/6) = 13/3 * (-6/5)

= (-136) / (35)

= -78/15

The expression 4 1/3 divided -5/6 is therefore equivalent to the fraction -78/15.

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