Question

PLEASE HELP!!! Jim made a table to show the length of his walking sticks.

Answer 1

Answer:

Stick 2: $\frac{1}{2}$

Stick 3: $\frac{4}{10}$

Step-by-step explanation:

To determine which of the lengths are less than ⅗ meters, you would compare each given length with ⅗ meters.

Stick 1: Comparing ⁹/10 and ⅗

Find The common denominator of both fractions. 10 is the common denominator. Multiply the numerator and denominator of ⅗ by 2 to create a fraction equivalent to ⁹/10.

Thus,

$\frac{3*2}{5*2} = \frac{6}{10}$

Compare the numerator of $\frac{9}{10}$ and $\frac{6}{10}$.

9 is greater than 6. This means $\frac{9}{10}$ > $\frac{6}{10}$.

Therefore, $\frac{9}{10}$ > $\frac{3}{5}$

Stick 2: comparing ½ and ⅗

Common denominator = 10

Make both fractions equivalent to each other as follows,

$\frac{1*5}{2*5} = \frac{5}{10}$

$\frac{3*2}{5*2} = \frac{6}{10}$

5 < 6. This means, $\frac{5}{10}$ < $\frac{6}{10}$.

Therefore, $\frac{1}{2}$ < $\frac{3}{5}$

Stick 3: comparing ⁴/10 and ⅗

Common denominator = 10

Make the fractions equivalent as follows,

$\frac{4*1}{10*1} = \frac{4}{10}$

$\frac{3*2}{5*2} = \frac{6}{10}$

4 < 6. This means, $\frac{4}{10}$ < $\frac{6}{10}$.

Therefore, $\frac{4}{10}$ < $\frac{3}{5}$

Stick 4: comparing ⅘ and ⅗

Common denominator = 5

Since both denominators are already the same, both fractions are equivalent. Comparing their numerator, 4 > 3. Therefore, ⅘ > ⅗.