Fractions

Advanced Math 4 · Unit 6 · fraction-fundamentals · Teacher edition

fraction-fundamentals

Name ______________________________Date ______________

1.
$\dfrac{3}{4} = \dfrac{?}{12}$ . Enter the missing numerator.
Answer: ______________
2.
Five fractions are placed on a number line: $\dfrac{5}{8},\ \dfrac{1}{2},\ \dfrac{2}{3},\ \dfrac{9}{8},\ \dfrac{3}{4}$ . Enter the fraction that is in the middle (third from the left).
Answer: ______________
3.
Which comparison is true?
1. (A)
  $\dfrac{3}{5} > \dfrac{3}{4}$
2. (B)
  $\dfrac{3}{4} > \dfrac{5}{8}$
3. (C)
  $\dfrac{5}{12} > \dfrac{1}{2}$
4. (D)
  $\dfrac{2}{3} < \dfrac{5}{8}$
5. (E)
  $\dfrac{7}{6} < 1$

Answer key — Fractions

1.
9fraction-fundamentals-01
$4 \times 3 = 12$ , so multiply the top by $3$ too: $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ . The missing numerator is $\mathbf{9}$ .
2.
2/3fraction-fundamentals-02
Order from least to greatest: $\frac{1}{2},\ \frac{5}{8},\ \frac{2}{3},\ \frac{3}{4},\ \frac{9}{8}$ (since $\frac{15}{24} < \frac{16}{24} < \frac{18}{24}$ ). The middle one is $\mathbf{\frac{2}{3}}$ .
3.
(B)
$\dfrac{3}{4} > \dfrac{5}{8}$
fraction-fundamentals-03
$\frac{3}{4} = \frac{6}{8} > \frac{5}{8}$ , so $\mathbf{\frac{3}{4} > \frac{5}{8}}$ is true. ( $\frac{3}{5} > \frac{3}{4}$ is the denominator trap — fifths are smaller than quarters; $\frac{5}{12} < \frac{1}{2}$ ; $\frac{2}{3} = \frac{16}{24} > \frac{15}{24} = \frac{5}{8}$ ; $\frac{7}{6}$ is greater than $1$ .)