Operations of Fractions Flashcard

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. 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, find a common denominator, convert the fractions, and then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. Example: 4/8 simplifies to 1/2.

Front

How do you subtract fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator first.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. Example: 2 1/2 is a mixed number.

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.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. Example: The reciprocal of 3/4 is 4/3.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Example: (1/2) * (3/4) = 3/8.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. Example: (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.