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