Order the fraction from biggest to smallest a) 1/4, 1/8, 1/2 b) 1/7, 1/3, 1/5 c) 1/6, 1/4, 1/3 3) Copy and complete to more equivalent fractions. a) 1/4 = ?/8 b) 3/6 = ?/2 c) 1 whole = ?/7 d) 1 = ?/2 = ?/3 = ?/4 = ?/6 = ?/7 = ?/8 e) 1/3 = ?/4 = ?/6 = ?/8

$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
$\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Since $\frac{4}{12} > \frac{3}{12}$, then $\boxed{\frac{1}{3} > \frac{1}{4}}$.

b) $\frac{1}{5} \square \frac{1}{4}$

$\frac{1}{5} = \frac{1 \times 4}{5 \times 4} = \frac{4}{20}$
$\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}$

Since $\frac{4}{20} < \frac{5}{20}$, then $\boxed{\frac{1}{5} < \frac{1}{4}}$.

c) $\frac{1}{6} \square \frac{1}{10}$

$\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}$
$\frac{1}{10} = \frac{1 \times 3}{10 \times 3} = \frac{3}{30}$

Since $\frac{5}{30} > \frac{3}{30}$, then $\boxed{\frac{1}{6} > \frac{1}{10}}$.

d) $\frac{1}{7} \square \frac{1}{6}$

$\frac{1}{7} = \frac{1 \times 6}{7 \times 6} = \frac{6}{42}$
$\frac{1}{6} = \frac{1 \times 7}{6 \times 7} = \frac{7}{42}$

Since $\frac{6}{42} < \frac{7}{42}$, then $\boxed{\frac{1}{7} < \frac{1}{6}}$.

2) Order the fraction from biggest to smallest

To order fractions, we find a common denominator for all fractions in the set.

a) $\frac{1}{4}, \frac{1}{8}, \frac{1}{2}$

$\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$
$\frac{1}{8} = \frac{1}{8}$
$\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$

Comparing $\frac{4}{8}, \frac{2}{8}, \frac{1}{8}$, the order is $\boxed{\frac{1}{2}, \frac{1}{4}, \frac{1}{8}}$.

b) $\frac{1}{7}, \frac{1}{3}, \frac{1}{5}$

$\frac{1}{7} = \frac{1 \times 15}{7 \times 15} = \frac{15}{105}$
$\frac{1}{3} = \frac{1 \times 35}{3 \times 35} = \frac{35}{105}$
$\frac{1}{5} = \frac{1 \times 21}{5 \times 21} = \frac{21}{105}$

Comparing $\frac{35}{105}, \frac{21}{105}, \frac{15}{105}$, the order is $\boxed{\frac{1}{3}, \frac{1}{5}, \frac{1}{7}}$.

c) $\frac{1}{6}, \frac{1}{4}, \frac{1}{3}$

$\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}$
$\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$

Comparing $\frac{4}{12}, \frac{3}{12}, \frac{2}{12}$, the order is $\boxed{\frac{1}{3}, \frac{1}{4}, \frac{1}{6}}$.

3) Copy and complete to more equivalent fractions.

To find equivalent fractions, multiply or divide the numerator and denominator by the same non-zero whole number.

a) $\frac{1}{4} = \frac{\square}{8}$
To change the denominator from 4 to 8, we multiply by 2. So, multiply the numerator by 2.

b) $\frac{3}{6} = \frac{\square}{2}$
To change the denominator from 6 to 2, we divide by 3. So, divide the numerator by 3.

c) 1 whole = $\frac{\square}{7}$
A whole can be written as a fraction where the numerator and denominator are the same.

d) $1 = \frac{\square}{2} = \frac{\square}{3} = \frac{\square}{4} = \frac{\square}{6} = \frac{\square}{7} = \frac{\square}{8}$
For 1 whole, the numerator is equal to the denominator.

e) $\frac{1}{3} = \frac{\square}{4} = \frac{\square}{6} = \frac{\square}{8}$
We find equivalent fractions by multiplying the numerator and denominator by the same whole number.
For $\frac{1}{3} = \frac{\square}{4}$: There is no whole number that multiplies 3 to get 4, so this equivalent fraction cannot be formed with a whole number numerator.
For $\frac{1}{3} = \frac{\square}{6}$: To change the denominator from 3 to 6, we multiply by 2. So, multiply the numerator by 2.

For $\frac{1}{3} = \frac{\square}{8}$: There is no whole number that multiplies 3 to get 8, so this equivalent fraction cannot be formed with a whole number numerator.