How Do You Turn a Fraction Into a Repeating Decimal?

1. A fraction bar means the same thing as division
2. So we can rewrite our fraction as a long division problem
3. 4, the numerator of the fraction, will be the dividend when we divide
4. 9, the denominator of the fraction, will be the divisor when we divide
1. 4, the numerator of the fraction, will be the dividend when we divide
2. 9, the denominator of the fraction, will be the divisor when we divide
1. A fraction bar means the same thing as division
2. So we can rewrite our fraction as a long division problem
1. Adding the 0 after the decimal turns this into a problem involving division with decimals
2. These zeros are called trailing zeros
1. 9 goes into 40 wholly 4 times every time
2. This gives us 36 every time we multiply
3. Subtracting 36 from 40 always gives us 4 again
4. Tacking on the trailing zero gives us 40, and the cycle starts over again!
1. We got the repeating decimal 0.44444...
1. We can represent the repeating decimal 0.44444... as 0.4 with a bar above the 4

Convert 4/9 into a decimal.