Question

Convert 10% to a decimal and a fraction.

Answer 1

Convert 0.02¯¯¯¯¯ to a fraction

Answer 2

To convert 10% to a decimal, divide it by 100:

10% = 10/100 = 0.1

To convert 10% to a fraction, write it as a fraction with a denominator of 100:

10% = 10/100 = 1/10

Answer 3

To convert the repeating decimal 0.02¯¯¯¯¯ to a fraction, we can use a little trick. Let x = 0.02¯¯¯¯¯.

We multiply both sides of this equation by 100 (to eliminate the repeating part), so 100x = 2.02¯¯¯¯¯.

Now, we subtract the original equation from the new one to eliminate the decimal places:

100x - x = 2.02¯¯¯¯¯ - 0.02¯¯¯¯¯

This simplifies to 99x = 2.

To isolate x, we divide both sides of the equation by 99:

99x/99 = 2/99

x = 2/99

Therefore, 0.02¯¯¯¯¯ is equal to the fraction 2/99.