ADDING AND MULTIPLYING FRACTIONS AND SUBTRACTING

Front

What is the least common denominator (LCD) and how is it used in adding fractions?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is used in adding fractions to convert them to equivalent fractions with a common denominator, allowing for straightforward addition.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then add the numerators while keeping the common denominator.

Front

What is the product of two fractions?

Back

The product of two fractions is found by multiplying the numerators together and the denominators together. For example, for fractions a/b and c/d, the product is (a*c)/(b*d).

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). This reduces the fraction to its simplest form.

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Then simplify if necessary.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1, meaning they cannot be reduced further.

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 becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator that is less than the denominator (e.g., 3/4), while an improper fraction has a numerator that is greater than or equal to the denominator (e.g., 5/4).

Front

What is the formula for finding the GCD of two numbers?

Back

The GCD (greatest common divisor) of two numbers can be found using the Euclidean algorithm, which involves repeated division and taking remainders until reaching zero.

Front

How do you find the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of a/b is b/a.