AI Tutor
Imagine sharing a $1 bill equally among 5 friends. How much money does each person get?
Each friend gets 2020 cents, or $0.20! That means the fraction 15\frac{1}{5} is worth exactly the same as the decimal 0.20.2.

The Power of Ten

Our decimal system is built on powers of 10: tenths (110\frac{1}{10}), hundredths (1100\frac{1}{100}), and thousandths (11000\frac{1}{1000}).
To change any fraction into a decimal, we can rewrite it with a denominator of 10, 100, or 1000.
Because 5×2=105 \times 2 = 10, we multiply the top and bottom of 15\frac{1}{5} by 2 to get 210\frac{2}{10}, which is written as 0.20.2.

Counting by Fifths

Once you know that 15=0.2\frac{1}{5} = 0.2, finding every other fifth is just counting up by 0.20.2.
For example, 35\frac{3}{5} is 33 groups of 0.20.2, which equals 0.60.6 (or 610\frac{6}{10}).
What happens when you cut something into 8 equal pieces instead? You can't multiply 8 by a whole number to get 10 or 100!

Entering the Thousandths: Eighths