Question

Write 48.4 % as a decimal and as a simplified fraction.

48.4
100
O 0.484 and
O4.84 and
484
1000
O4.84 and 121
250
0.484 and 121
250

Answer 1

0.484

Explanation:

Remember to always divide by 100 to get the percentage as a decimal.

Answer 2

Decimal: 0.484

`\sf \textsf{Simplified fraction:} (121)/(250)`

Explanation:

In order to write 48.4% as a decimal, divide the percentage by 100:

`\sf 48.4\% = (48.4 )/(100) = 0.484`

So, 48.4% as a decimal is 0.484.

and

To write 48.4% as a simplified fraction, we can first express it as a fraction with a denominator of 100:

`\sf 48.4\% =( 48.4)/(100)`

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 4):

`\sf ( (48.4)/(4) )/(( 100)/(4))= (12.1 )/(25)`

Since there is a decimal. We can remove by multiplying by 10 in denominator and numerator. we get

`\sf (12.1* 10)/(25* 10)=(121)/(250)`

So, 48.4% as a simplified fraction is:

`\sf (121)/(250)`