Representing 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 fractions with the same denominator?

Back

To add fractions with the same denominator, you keep the denominator the same and add the numerators. For example, 1/6 + 1/6 = (1+1)/6 = 2/6.

Front

What is the process of decomposing a fraction?

Back

Decomposing a fraction involves breaking it down into a sum of unit fractions. For example, 6/10 can be decomposed into 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, 4/8 simplifies to 1/2.

Front

What does it mean for a fraction to be equivalent?

Back

Two fractions are equivalent if they represent the same value, even if they have different numerators and denominators, such as 1/2 and 2/4.

Front

How can you represent a fraction visually?

Back

Fractions can be represented visually using pie charts, bar models, or number lines to show parts of a whole.

Front

What is the relationship between fractions and decimals?

Back

Fractions can be converted to decimals by dividing the numerator by the denominator. For example, 1/4 = 0.25.

Front

How do you find a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the numerator and then divide by the denominator. For example, to find 1/4 of 20, calculate (1*20)/4 = 5.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4 or 6/6.