Question 1
A) Are the pairs of fractions equivalent?
-
\( \frac{12}{48} \)
No
(Simplifying \( \frac{12}{48} \) gives \( \frac{1}{4} \)) -
\( \frac{23}{69} \)
Yes
(Simplifying \( \frac{23}{69} \) gives \( \frac{1}{3} \)) -
\( \frac{6}{10} \)
No
(Simplifying \( \frac{6}{10} \) gives \( \frac{3}{5} \)) -
\( \frac{2}{3} \)
No
(Simplifying \( \frac{2}{5} \) gives \( \frac{2}{5} \))
Question 2
A) Are the fractions equivalent? If so, what number were both the numerator and denominator multiplied by to arrive at the equivalent fraction?
-
\( \frac{1}{3} = \frac{5}{12} \)
No -
\( \frac{2}{5} = \frac{4}{10} \)
Yes (Both the numerator and denominator were multiplied by 2.) -
\( \frac{5}{12} = \frac{15}{36} \)
Yes (Both the numerator and the denominator were multiplied by 3.) -
\( \frac{2}{11} = \frac{8}{44} \)
Yes (Both the numerator and denominator were multiplied by 4.)
Question 3
A) Fill in the missing values.
-
\( 3 = \frac{7}{12}d \)
The missing denominator is 28. -
\( 7 = \frac{10}{n} \)
The missing numerator is 7.
Question 4
A) Select the three fractions that are equivalent to \( \frac{3}{5} \).
- \( \frac{12}{20} \)
- \( \frac{21}{35} \)
- \( \frac{30}{50} \)
(These fractions can be simplified to \( \frac{3}{5} \).)