Fractions and Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

What is a decimal?

Back

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part.

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.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you compare two decimals?

Back

To compare two decimals, align them by the decimal point and compare digit by digit from left to right.

Front

What is the place value of a digit in a decimal?

Back

The place value of a digit in a decimal indicates its value based on its position relative to the decimal point (e.g., tenths, hundredths, thousandths).

Front

What does it mean to add fractions?

Back

Adding fractions involves finding a common denominator, converting the fractions if necessary, and then adding the numerators while keeping the denominator the same.

Front

What is a mixed number?

Back

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

Front

How do you subtract decimals?

Back

To subtract decimals, align the numbers by the decimal point, subtract as you would whole numbers, and place the decimal point in the answer.

Front

What is the relationship between fractions and decimals?

Back

Fractions and decimals are two ways of representing the same concept of parts of a whole; they can be converted into each other.