Question

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

Which walking sticks measured less than 3/5 meters? Choose 2 answers

Answer 1

Stick 2:
`(1)/(2)`

Stick 3:
`(4)/(10)`

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,

`(3*2)/(5*2) = (6)/(10)`

Compare the numerator of
`(9)/(10)` and
`(6)/(10)`.

9 is greater than 6. This means
`(9)/(10)` >
`(6)/(10)`.

Therefore,
`(9)/(10)` >
`(3)/(5)`

Stick 2: comparing ½ and ⅗

Common denominator = 10

Make both fractions equivalent to each other as follows,

`(1*5)/(2*5) = (5)/(10)`

`(3*2)/(5*2) = (6)/(10)`

5 < 6. This means,
`(5)/(10)` <
`(6)/(10)`.

Therefore,
`(1)/(2)` <
`(3)/(5)`

Stick 3: comparing ⁴/10 and ⅗

Common denominator = 10

Make the fractions equivalent as follows,

`(4*1)/(10*1) = (4)/(10)`

`(3*2)/(5*2) = (6)/(10)`

4 < 6. This means,
`(4)/(10)` <
`(6)/(10)`.

Therefore,
`(4)/(10)` <
`(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.