Question

Travis is comparing 4/7 and 3/8. Which statements are correct? Check all that apply

Four-sevenths is greater than One-half.
Four-sevenths is closer to 0 than to 1.
Three-eighths is equal to One-half.
Three-eighths is less than One-half.
Four-sevenths is greater than Three-eighths.

Answer 1

For this case we have to:

`\frac {4} {7} = 0.5714\\\frac {3} {8} = 0.375`

According to the above we have:

Option A:

`\frac {4} {7}> \frac {1} {2}`False

Option B:

False.
`\frac {4} {7}`is closer to 1

Option C:

`\frac {3} {8} = \frac {1} {2}` False

Option D

`\frac {3} {8} <\frac {1} {2}` True

Option E:

`\frac {4} {7}> \frac {3} {8}`True

Answer:

The correct options are D and E

Answer 2

Answer: First option, Fourth option, Fifth option.

Explanation:

You know that fractions have the following form:

`(a)/(b)`

Where "a" is the numerator and "b" is the denominator. Both are integers and "b" cannot be zero.

For this exercise you need to remember that to convert fractions to decimal numbers, you need to divide the numerator by the denominator.

Knowing the above, you can convert the fractions given in the exercise to decimal numbers. You get that these are:

`(4)/(7)\approx0.571\\\\(3)/(8)=0.375`

- Then, since:

`(1)/(5)=0.5`

You can identify that:

`0.571>0.5`

Then, the statement " Four-sevenths is greater than One-half" is correct.

- Since:

`0.375<0.5`

The statement "Three-eighths is less than One-half" is correct (This is because
`(3)/(8)` is closer to zero than
`(1)/(2)`)

- Since
`(3)/(8)` is closer to zero than
`(4)/(7)`, the statement " Four-sevenths is greater than Three-eighths" is correct.