When you convert a fraction into a decimal, you can use long division by dividing the numerator by the denominator. Some decimals Response area which means they come to an end, while others Response area, meaning a digit or group of digits repeat forever.

Question

You can tell whether a fraction will result in a terminating or repeating decimal by examining its denomininator. If the simplified denominator has only the prime factors 2 or 5, then the decimal will Response area. If it includes any other prime factors (like 3 or 7), the decimal will Response area.

For example, the fraction 3/4 equals Response area, which is a terminating decimal. But 1/3 equals Response area which is a repeating decimal.

Answer 1

When you convert a fraction into a decimal, you can use long division by dividing the numerator by the denominator. Some decimals are terminating, which means they come to an end, while others are repeating, meaning a digit or group of digits repeat forever.

You can tell whether a fraction will result in a terminating or repeating decimal by examining its denominator. If the simplified denominator has only the prime factors 2 or 5, then the decimal will be terminating. If it includes any other prime factors (like 3 or 7), the decimal will be repeating.

For example, the fraction 3/4 equals 0.75, which is a terminating decimal. But 1/3 equals 0.333..., which is a repeating decimal.