Final answer:
5/6 and 9/10 are not equivalent fractions, as shown by cross-multiplication (5x10 = 50 and 9x6 = 54, and 50 is not equal to 54).
Step-by-step explanation:
To determine if 5/6 and 9/10 are equivalent fractions, we can compare them by converting each to a common denominator or by cross-multiplication.
Let's try cross-multiplication:
Multiply the numerator (top number) of the first fraction (5) by the denominator (bottom number) of the second fraction (10): 5 × 10 = 50.
Multiply the numerator of the second fraction (9) by the denominator of the first fraction (6): 9 × 6 = 54.
Since the results are not equal (50 is not equal to 54), 5/6 and 9/10 are not equivalent fractions.