Mixed numbers & improper fractions

Japanese school year: Elementary 4

What you learn

You will learn the concepts of improper fractions and mixed numbers representing quantities of one or more, including how to convert between them. This helps when describing quantities greater than one in cooking or measurements. A firm understanding of proper fractions and integer division will make conversions much easier.

Go to practice

Key points

This formula shows that a mixed number $c\frac{a}{b}$ is the sum of an integer $c$ and a fraction $\frac{a}{b}$ . It is useful when calculating the integer and fractional parts separately.

c\frac{a}{b} = c + \frac{a}{b}

This formula is used to convert a mixed number $c\frac{a}{b}$ into an improper fraction. Keep the denominator $b$ , and calculate the new numerator as $b \times c + a$ .

c\frac{a}{b} = \frac{b \times c + a}{b}

This is the rule for converting an improper fraction into a mixed number. Divide the numerator by the denominator; the quotient becomes the integer part, and the remainder becomes the new numerator.

Choose a set to practice.

Practice 1Coming soon