Question
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.
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.
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.
Answers
GPT-4o mini
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.
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.