Adding and Subtracting 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 (part) and 'b' is the denominator (whole).

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 subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is used to add or subtract fractions with different denominators.

Front

How do you find the least common denominator of 1/4 and 1/6?

Back

The least common denominator of 1/4 and 1/6 is 12, as it is the smallest multiple of both 4 and 6.

Front

What is the process to add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is the process to subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then subtract the numerators.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF).