Fraction Review

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 (part) and 'b' is the denominator (whole).

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

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

Back

The least common denominator is the smallest multiple that both denominators share. You can find it by listing the multiples or using the prime factorization.

Front

What is the sum of 1/3 and 1/4?

Back

To add 1/3 and 1/4, find the LCD (12), convert the fractions (4/12 + 3/12 = 7/12).

Front

What is the product of 5/12 and 8/15?

Back

Multiply the numerators (5*8) and the denominators (12*15) to get 40/180, which simplifies to 2/9.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 5⅙ = (5*6 + 1)/6 = 31/6.

Front

What is the difference between proper and improper fractions?

Back

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

Front

How do you subtract fractions with different denominators?

Back

Find the least common denominator, convert the fractions, and then subtract the numerators.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2⅗.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.