Question

Write the following mixed decimals as mixed numbers and reduce to lowest terms. a. 17.45 b. 92.004 c. 4.2 d. 157.43

Answer 1

Answer and Step-by-step explanation:

Since we have given that

a) 17.45

Mixed number :
`17+(45)/(100)=17(45)/(100)`

Lowest term :
`17(9)/(20)`

2) 92.004

Mixed number :
`92+(4)/(1000)=92(4)/(1000)`

Lowest term :
`92(1)/(250)`

3) 4.2

Mixed number :
`4+(2)/(10)=4(2)/(10)`

Lowest term :
`4(1)/(5)`

4) 157.43

Mixed number :
`157+(43)/(100)=157(43)/(100)`

Lowest term :
`157(43)/(100)`

Answer 2

Part A)
`17(9)/(20)`

Part B)
`92(1)/(500)`

Part C)
`2(1)/(5)`

Part D)
`157(43)/(100)`

Explanation:

Part A)
`17.45`

we know that

`17.45=17+0.45`

`0.45=(45)/(100) =(9)/(20)`

substitute

`17+(9)/(20)=17(9)/(20)`

Part B)
`92.004`

we know that

`92.004=92+0.004`

`0.004=(4)/(1,000) =(1)/(250)`

substitute

`92+(1)/(500)=92(1)/(500)`

Part C)
`4.2`

we know that

`4.2=4+0.2`

`0.2=(2)/(10) =(1)/(5)`

substitute

`2+(1)/(5)=2(1)/(5)`

Part D)
`157.43`

we know that

`157.43=157+0.43`

`0.43=(43)/(100)`

substitute

`157+(43)/(100)=157(43)/(100)`