Question

Do number 14 only Add or subtract write each sum or difference in simplest form

Answer 1

`(24)/(35)`

Explanation:

`(9)/(10) - (3)/(14)`

We need to determine the least common denominator (LCD) of 10 and 14 in order to subtract both fractions. A great way to do so is finding their least common multiply (LCM):

The prime factors of 10 are: 1, 2, and 5

The prime factors of 14 are: 1, 2, 7.

Therefore, the LCM of 10 and 14 are: 1 × 2 × 5 × 7 = 70

The LCD of 10 and 14 is 70.

Next, we need to rewrite the given unlike fractions into like fractions using the LCD.

`(9)/(10)` ×
`(7)/(7)` =
`(63)/(70)`

`(3)/(14)` ×
`(5)/(5)` =
`(15)/(70)`

Subtract both fractions:

`(63)/(70)` -
`(15)/(70)` =
`(48)/(70)`

Reduce
`(48)/(70)` to its simplest form:

`(48)/(70)` ÷
`(2)/(2)` =
`(24)/(35)`

Therefore, the correct answer is
`(24)/(35)`.