Mastering Rational Number Operations

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the process for multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same.

Front

How do you add two fractions with different denominators?

Back

To add two fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

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 fractions.

Front

How do you subtract one fraction from another?

Back

To subtract one fraction from another, ensure they have a common denominator, then subtract the numerators and keep the denominator the same.

Front

What is the process for converting a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

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

Front

How do you solve a word problem involving fractions?

Back

To solve a word problem involving fractions, identify the fractions involved, determine the operation needed (addition, subtraction, multiplication, or division), and apply the appropriate mathematical rules.