Adding 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 convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point, and simplify if possible.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, then add the numerators and simplify if necessary.

Front

What is the common denominator of 1/3 and 1/4?

Back

The common denominator of 1/3 and 1/4 is 12.

Front

How do you convert the fraction 2/3 to a decimal?

Back

To convert 2/3 to a decimal, divide 2 by 3, which equals approximately 0.6667 or 0.6̅.

Front

What is the sum of -5.7 and 0.9?

Back

The sum of -5.7 and 0.9 is -4.8.

Front

What is 0.04 as a fraction?

Back

0.04 can be written as 4/100, which simplifies to 1/25.

Front

What is 0.01 as a fraction?

Back

0.01 can be expressed as 1/100.

Front

What is the first step in adding rational numbers?

Back

The first step in adding rational numbers is to ensure that the fractions have a common denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.