Question

write the statement in words and decide whether it is true or false. to compare fractions, write them with the same denominator.

\\(\frac{1}{8} \
eq \frac{2}{15}\\)

what is the statement in words?
a. one-eighth is not equal to two-sixteenths
b. one-eighth is equal to two-sixteenths
c. one-eighth is equal to two-fifteenths
d. one-eighth is not equal to two-fifteenths

Explanation:

Translate the mathematical statement into words

The given mathematical statement is:

$$ \frac{1}{8} eq \frac{2}{15} $$

• \(\frac{1}{8}\) is written as "one-eighth".
• \(

eq\) is the symbol for "is not equal to".

• \(\frac{2}{15}\) is written as "two-fifteenths".

Therefore, the statement in words is: "one-eighth is not equal to two-fifteenths".

Match with the given options

• Option A: "one-eighth is not equal to two-sixteenths" (Incorrect fraction name)
• Option B: "one-eighth is equal to two-sixteenths" (Incorrect symbol and fraction name)
• Option C: "one-eighth is equal to two-fifteenths" (Incorrect symbol)
• Option D: "one-eighth is not equal to two-fifteenths" (Correct)

Answer:

• (A) one-eighth is not equal to two-sixteenths
• (B) one-eighth is equal to two-sixteenths
• (C) one-eighth is equal to two-fifteenths
• (D) one-eighth is not equal to two-fifteenths (Correct answer)