Adding and Subtracting Fractions with unlike denominators

What is a fraction?

• A fraction is a whole number.

• A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

• A fraction is a type of decimal number.

• A fraction is a mathematical operation involving addition.

How do you simplify a fraction?

• By multiplying the numerator and denominator by the same number.

• By adding the numerator and denominator together.

• To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

• By subtracting the numerator from the denominator.

What is the greatest common factor (GCF)?

• The smallest number that divides two or more numbers without leaving a remainder.

• The largest number that divides two or more numbers without leaving a remainder.

• The sum of all factors of a number.

• The product of two numbers.

What is an example of subtracting fractions with unlike denominators?

• @@\frac{3}{5} - \frac{1}{2} = \frac{1}{10}@@

• @@\frac{2}{3} - \frac{1}{4} = \frac{5}{12}@@

• @@\frac{1}{2} - \frac{1}{3} = \frac{1}{6}@@

• @@\frac{5}{6} - \frac{1}{2} = \frac{1}{3}@@

What does it mean to have unlike denominators?

• Unlike denominators are denominators that are the same.

• Unlike denominators are denominators that are not the same.

• Unlike denominators are fractions that are equal.

• Unlike denominators are fractions that have a common factor.

How do you add fractions with unlike denominators?

• 1. Find a common denominator, convert each fraction to an equivalent fraction with the common denominator, and add the numerators while keeping the common denominator.

• 2. Simply add the numerators and denominators of the fractions directly.

• 3. Multiply the denominators and add the numerators without finding a common denominator.

• 4. Subtract the smaller numerator from the larger numerator and keep the larger denominator.

What is the importance of finding a common denominator?

• It allows for the multiplication of fractions.

• It is essential for accurately adding or subtracting fractions with unlike denominators.

• It simplifies fractions to their lowest terms.

• It helps in converting fractions to decimals.

What is the least common multiple (LCM)?

• The largest number that is a multiple of each of the numbers.

• The smallest number that is a multiple of each of the numbers.

• The sum of the numbers divided by the number of values.

• The product of the numbers divided by their greatest common divisor.