Evaluate x over y for x = two-thirds and y = five-sixths.

Question

(1 point)
Responses

five-ninths
Image with alt text: five-ninths

four-fifths
Image with alt text: four-fifths

five-fourths
Image with alt text: five-fourths

nine-fifths

Answer 1

To evaluate x over y for x = two-thirds and y = five-sixths, you divide x by y:

x/y = (2/3)/(5/6)

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction:

x/y = (2/3) * (6/5)

Now, simplify the fractions:

x/y = (2 * 6) / (3 * 5)
= 12 / 15

12/15 can be simplified by dividing both the numerator and the denominator by 3:

x/y = (12/3) / (15/3)
= 4/5

Therefore, x over y for x = two-thirds and y = five-sixths is equal to four-fifths.