Period 2 Adding, Subtracting, Multiplying, & Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/4 and 1/3, the common denominator is 12: (1/4 = 3/12) + (1/3 = 4/12) = 7/12.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert if necessary, and then subtract the numerators. For example, 5/6 - 1/3: (1/3 = 2/6) so 5/6 - 2/6 = 3/6 = 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, where 2 is the whole number and 1/2 is the fraction.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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. For example, 4/8 can be simplified to 1/2.

Front

How do you find the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. For example, the LCD of 4 and 6 is 12.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its simplest form by dividing the numerator and denominator by their greatest common factor (GCF).