Unit 4/5 + / - / * Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is the process for adding 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, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the process for subtracting fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators. For example, 2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2, which means 2 whole parts and 1/2 of another part.

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 over the original denominator is the fraction. For example, 9/4 = 2 1/4.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers. For example, the LCM of 4 and 6 is 12.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder. For example, the GCD of 8 and 12 is 4.

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.