Subtracting Rational Numbers (fractions)

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions to equivalent fractions with that denominator, and then subtract the numerators.

Front

What is the first step in subtracting rational numbers?

Back

The first step is to identify if the fractions have a common denominator. If not, find the least common denominator (LCD).

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What does it mean to write a fraction in simplest form?

Back

Writing a fraction in simplest form means reducing it so that the numerator and denominator have no common factors other than 1.

Front

What is the result of subtracting a negative number from a positive number?

Back

Subtracting a negative number from a positive number is equivalent to adding the absolute value of that negative number.

Front

How do you handle mixed numbers when subtracting?

Back

Convert mixed numbers to improper fractions before performing the subtraction.

Front

What is the result of subtracting two negative fractions?

Back

Subtracting two negative fractions results in a negative fraction that is the difference of their absolute values.

Front

What is the process for subtracting fractions with like denominators?

Back

When subtracting fractions with like denominators, subtract the numerators and keep the denominator the same.