Question

Which of the following is not equal to the rational number 7/4 ?

Option 1: 14/8
Option 2: 10/7
Option 3: 1.75
Option 4: 1 3/4

YOU COULD PICK MORE THEN ONE OPTION

Answer 1

Only Option 2: 10/7 is not equal to the rational number 7/4. All other options provided are equivalent to the given rational number after simplification or conversion.

Step-by-step explanation:

The question is asking which of the provided options is not equal to the rational number 7/4. Let's examine each option:

• Option 1: 14/8 is equivalent to 7/4 because if you divide the numerator and the denominator by 2, you will get 7/4.
• Option 2: 10/7 is not equivalent to 7/4 because the ratio of 10 to 7 does not simplify to the ratio of 7 to 4.
• Option 3: 1.75 is equivalent to 7/4 because when you convert 1.75 to a fraction, you get 175/100, which can be simplified to 7/4 by dividing both the numerator and denominator by 25.
• Option 4: 1 3/4 is equivalent to 7/4 because the mixed number 1 3/4 is the same as 1 + 3/4, which equals 4/4 + 3/4, and that simplifies to 7/4.

Therefore, the option that is not equal to the rational number 7/4 is Option 2: 10/7.

Answer 2

(2)
`(10)/(7)`

Step-by-step explanation:

Given the rational number,
`(7)/(4)`, the following can be said to be equal to the rational number:

1.
`(14)/(8)`

Simplify the fraction

`(2*7)/(2*4)`

`= (7)/(4)`

Therefore,
`(14)/(8) = (7)/(4)`

3.
`(7)/(4) = 1.75` (using your calculator)

4.
`1(3)/(4)`

Convert from mixed fraction to improper fraction

`1(3)/(4) = (7)/(4)`

`(10)/(7)` ≠
`(7)/(4)`

The answer is (2)
`(10)/(7)`