Add/Subtract/Multiply Fractions

Front

What is the process for subtracting fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator. Then, convert each fraction to an equivalent fraction with the common denominator, subtract the numerators, and keep the common denominator.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, simply add the numerators together and keep the denominator the same. For example, \(\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}\).

Front

What is the first step in adding or subtracting fractions?

Back

The first step in adding or subtracting fractions is to ensure that the fractions have a common denominator.

Front

What is a mixed number and how can it be converted to an improper fraction?

Back

A mixed number consists of a whole number and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the least common multiple (LCM) and how is it used in fraction operations?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, \(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\).

Front

What is the result of multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, \(n \times \frac{a}{b} = \frac{n \times a}{b}\).

Front

What is the process for simplifying fractions?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.