Fractions as Division

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the part and 2 is the whole.

To divide a whole into fractions, you determine how many equal parts you want to create. For example, dividing a pizza into 4 equal slices means each slice is 1/4 of the pizza.

Sharing equally means dividing something into equal parts so that everyone gets the same amount. For example, if 3 brownies are shared between 2 people, each person gets 1 1/2 brownies.

A fraction can be expressed as a division problem. For example, the fraction 3/4 can be written as 3 divided by 4.

Dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal of the fraction. For example, 4 divided by 1/2 is the same as 4 times 2, which equals 8.

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

To find the fraction of a quantity, multiply the quantity by the fraction. For example, to find 1/2 of 8, calculate 8 times 1/2, which equals 4.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 5/4 is an improper fraction.

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number, which means 1 whole and 1/2.

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