Decomposing Fractions

Front

What is a fraction?

Back

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

Front

What does it mean to decompose a fraction?

Back

To decompose a fraction means to break it down into a sum of smaller fractions that add up to the original fraction.

Front

How can you decompose the fraction 4/7?

Back

4/7 can be decomposed into 1/7 + 1/7 + 1/7 + 1/7.

Front

What is the sum of the fractions 1/7 + 1/7 + 1/7 + 1/7?

Back

The sum is 4/7.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate fractions, ratios, and relationships between numbers.

Front

How can you represent the shaded area of a tape diagram as a fraction?

Back

The shaded area can be represented as a fraction of the total area, such as 2/5.

Front

What is the relationship between the numerator and denominator in a fraction?

Back

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Front

What does it mean for fractions to be equivalent?

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How can you add fractions with the same denominator?

Back

To add fractions with the same denominator, you add the numerators together and keep the denominator the same.

Front

What is the equation that matches the shaded parts in a model?

Back

An example equation could be 4/10 + 2/10 + 1/10 = 7/10.