Operations on 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 multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 3/5 x 2/3 = (3*2)/(5*3) = 6/15, which simplifies to 2/5.

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. For example, 4/8 simplifies to 1/2.

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, 2/3 + 3/4 = 8/12 + 9/12 = 17/12.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 5 1/4 is a mixed number.

Front

How do you divide a mixed number by a whole number?

Back

To divide a mixed number by a whole number, convert the mixed number to an improper fraction and then divide. For example, 5 1/4 divided by 3 becomes (21/4) ÷ 3 = 21/12 = 1 3/4.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

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 sum of 1/2 and 1/4?

Back

To add 1/2 and 1/4, find a common denominator: 1/2 = 2/4. Then, 2/4 + 1/4 = 3/4.

Front

How do you find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators. For example, for 1/3 and 1/4, the LCM is 12.