Equivalent, comparing, and decomposition of fractions

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/4.

Front

How do you add unit fractions with the same denominator?

Back

To add unit fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 1/4 = (1+1)/4 = 2/4.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different, such as 1/2 and 2/4.

Front

How can you find equivalent fractions?

Back

To find equivalent fractions, multiply or divide both the numerator and denominator of a fraction by the same non-zero number.

Front

What is the relationship between fractions and their denominators?

Back

The denominator of a fraction indicates how many equal parts the whole is divided into, while the numerator indicates how many of those parts are being considered.

Front

How do you compare two fractions with different denominators?

Back

To compare fractions with different denominators, convert them to equivalent fractions with a common denominator or convert them to decimal form.

Front

What is the process for decomposing a fraction?

Back

Decomposing a fraction involves breaking it down into a sum of unit fractions or other fractions, such as expressing 3/4 as 1/4 + 1/4 + 1/4.

Front

What does it mean for one fraction to be less than another?

Back

A fraction is less than another if its value is smaller when both fractions are expressed in the same form (either as fractions with a common denominator or as decimals).

Front

How do you express a fraction as a decimal?

Back

To express a fraction as a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the significance of the shaded area in a fraction model?

Back

The shaded area in a fraction model represents the part of the whole that is being considered, helping to visualize the value of the fraction.