Operations with Rational Numbers

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 add fractions with different denominators?

Back

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

Front

What is the process to divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

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 the result over the original denominator.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share.

Front

How do you find the greatest common factor (GCF)?

Back

The greatest common factor is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the formula for finding the sum of two fractions?

Back

Sum = (a/b) + (c/d) = (ad + bc) / bd, where a/b and c/d are the fractions.

Front

How do you subtract fractions?

Back

To subtract fractions, find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1, multiply numerator and denominator by 10 for each digit after the decimal, and simplify.