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

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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.

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