Respuesta :

Answer:

a. [tex]\dfrac{1277}{10000}[/tex]

b. [tex]\dfrac{37}{100}[/tex]

c. [tex]\dfrac{243}{1000}[/tex]

d [tex]\dfrac{1156}{10000}[/tex]

Step-by-step explanation:

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

[tex].1277=\dfrac{1277}{1}[/tex]

Then we need to multiply top number and bottom number by [tex]10^{n}[/tex] 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 [tex]10^{4}=10000[/tex].

[tex]\dfrac{.1277}{1}*\dfrac{10000}{10000}=\dfrac{1277}{10000}[/tex]

Now let's do it with the rest:

b.

[tex].37=\dfrac{37}{1}[/tex]

We moved it 2 decimal places.

[tex]\dfrac{.37}{1}*\dfrac{100}{100}=\dfrac{37}{100}[/tex]

c.

[tex].243=\dfrac{243}{1}[/tex]

We moved it 3 decimal places.

[tex]\dfrac{.243}{1}*\dfrac{1000}{1000}=\dfrac{243}{1000}[/tex]

d.

[tex].1156=\dfrac{1156}{1}[/tex]

We moved it 4 decimal places.

[tex]\dfrac{.1156}{1}*\dfrac{10000}{10000}=\dfrac{1156}{10000}[/tex]

D) .1156 is the right answer