This time we were unable to subtract x from anything to get the desired outcome, so we had to be clever and multiply x by 10 and 100 before doing the subtraction. This will make a difference.

Recurring Decimal Problems. This is really what this topic is about.

Convert Fractions to Recurring Decimals To convert a fraction to a recurring decimal we must treat the fraction like it is a division and use some method of division to divide the numerator by the denominator. A recurring decimal is a decimal number which has a pattern than repeats over and over after the decimal place. Okay, so how does this method work?

Converting Recurring Decimals to Fractions

What you need to know A recurring decimal is a decimal number which has a pattern than repeats over and over after the decimal place.

Reveal answer up. A recurring decimal exists when decimal numbers repeat forever.

Example How is the number 0. Because the remainder is 2 again, the digit 3 is going to recur: Where Next? We have an equation.

Doing so, we get. Then, of 10x and 100x have the same thing after the decimal place, so they are suitable to subtract from one another. Show that is equal to.