Question

Write the corresponding fraction for each of the underlined digits.

Answer 1

Answer:

a. $\dfrac{1277}{10000}$

b. $\dfrac{37}{100}$

c. $\dfrac{243}{1000}$

d $\dfrac{1156}{10000}$

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.

$.1277=\dfrac{1277}{1}$

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 $10^{4}=10000$.

$\dfrac{.1277}{1}*\dfrac{10000}{10000}=\dfrac{1277}{10000}$

Now let's do it with the rest:

b.

$.37=\dfrac{37}{1}$

We moved it 2 decimal places.

$\dfrac{.37}{1}*\dfrac{100}{100}=\dfrac{37}{100}$

c.

$.243=\dfrac{243}{1}$

We moved it 3 decimal places.

$\dfrac{.243}{1}*\dfrac{1000}{1000}=\dfrac{243}{1000}$

d.

$.1156=\dfrac{1156}{1}$

We moved it 4 decimal places.

$\dfrac{.1156}{1}*\dfrac{10000}{10000}=\dfrac{1156}{10000}$

Answer 2

D) .1156 is the right answer