Question

Write the corresponding fraction for each of the underlined digits.

a. .1277
b. .37
c. .243
d. .1156

Answer 1

D) .1156 is the right answer

Answer 2

a.
`(1277)/(10000)`

b.
`(37)/(100)`

c.
`(243)/(1000)`

d
`(1156)/(10000)`

Explanation:

To find the fraction of a decimal point we first need to write the decimal number as a fraction over 1.

`.1277=(1277)/(1)`

Then we need to multiply top number and bottom number by
`10^(n)` where n represents the number of decimal places it moved to make it a whole number.

In this case we moved the decimal point 4 decimal places.

So that leaves us with
`10^(4)=10000`.

`(.1277)/(1)*(10000)/(10000)=(1277)/(10000)`

Now let's do it with the rest:

b.

`.37=(37)/(1)`

We moved it 2 decimal places.

`(.37)/(1)*(100)/(100)=(37)/(100)`

c.

`.243=(243)/(1)`

We moved it 3 decimal places.

`(.243)/(1)*(1000)/(1000)=(243)/(1000)`

d.

`.1156=(1156)/(1)`

We moved it 4 decimal places.

`(.1156)/(1)*(10000)/(10000)=(1156)/(10000)`