How do you convert 3/40 into a decimal and percent?

Question

16717 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-16T08:57:18

#75/1000 = 7.5/100 = 7.5%#

To convert a fraction into a decimal there are two methods:

#rarr# convert it to a fraction with a power of 10 as the denominator.
#rarr# divide the numerator by the denominator.

The first method is the method of choice for denominators of

#2, 4, 5, 8, 10, 20, 25, 40, 50, 80#

The second method is easier for denominators of:

#3, 6, 7, 9, 11, 12# etc because they have factors of #3, 6, 7, 9, 11 #

#3/40 xx 25/25 = 75/1000 = 0.075#

As soon as a number is in decimal form, the percent can be read off immediately.

A percent is an amount which is given out of 100.

2 decimal places represents hundredths.

#0. color(red)(07)5 = 75/1000= 7.5/100 = color(red)(7).5%#