Adding Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

What is the sum of 1/2 + 1/2?

Back

The sum of 1/2 + 1/2 is 2/2, which equals 1.

Front

What is the sum of 5/12 + 5/12?

Back

The sum of 5/12 + 5/12 is 10/12.

Front

What does it mean to decompose a fraction?

Back

To decompose a fraction means to break it down into smaller fractions that add up to the original fraction. For example, 8/12 can be decomposed into 5/12 + 3/12.

Front

What is the result of 3/6 + 2/6?

Back

The result of 3/6 + 2/6 is 5/6.

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 may be different. For example, 1/2 is equivalent to 2/4.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, 6/8 can be simplified to 3/4.