Fractions Related to Division

Front

What is a fraction?

Back

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 \(\frac{1}{2}\), 1 is the part and 2 is the whole.

Front

How do you divide a whole into fractions?

Back

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 \(\frac{1}{4}\) of the pizza.

Front

What does it mean to share equally?

Back

Sharing equally means dividing something into equal parts so that each person or group receives the same amount.

Front

If 6 friends share 4 candy bars equally, how much does each friend get?

Back

Each friend gets \(\frac{4}{6} = \frac{2}{3}\) of a candy bar.

Front

What is the formula for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, to divide \(\frac{a}{b}\) by \(\frac{c}{d}\), use \(\frac{a}{b} \times \frac{d}{c}\).

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 a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \(1\frac{1}{2}\) is a mixed number, which means 1 whole and 1 half.

Front

If 2 boxes of books are shared among 3 classes, what fraction of a box does each class get?

Back

Each class gets \(\frac{2}{3}\) of a box.

Front

What is the relationship between division and fractions?

Back

Division can be represented as a fraction. For example, dividing 1 by 2 can be written as \(\frac{1}{2}\).

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, \(\frac{4}{8}\) simplifies to \(\frac{1}{2}\).