multiply and divide fractions

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (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).

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 a/b is b/a.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What does it mean to find a fraction of a whole number?

Back

Finding a fraction of a whole number involves multiplying the whole number by the numerator of the fraction and then dividing by the denominator. For example, 1/4 of 12 is (1*12)/4 = 3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

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 is the new numerator over the original denominator.

Front

What is the least common multiple (LCM) and how is it used in fraction operations?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder.

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.