Convert 0.4 into percent and fraction form

Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction . Notice however that the fraction is not in lowest terms. We will need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2. Therefore, 0.4 can be written as the fraction , which is in lowest terms.

We can change a decimal to a percent by moving the decimal point 2 places to the right. In this problem, to change 0.40 to a percent, we move the decimal point 2 places to the right. When we have done this, we can add the percent sign so we have 40%. 0.40 can be read as 40 hundredths, or which we know is 40%.

ANSWER

The diameter of the largest pen you can build is 31.8 feet to the nearest tenth.

EXPLANATION

You have 100 feet of fencing to build a circular sheet pen.

The largest diameter you can get is when you use all the 100 feet of fencing to build the sheet pen.

The circumference of the circular sheet pen must then be 100 feet.

Then using the formula for circumference, we have:

C=πd

100=πd

d=31.83 ft.