Convert the mixed number 3 $$\frac{2}{5}$$ to an improper fraction.

To convert, multiply the whole number by the denominator and add the numerator: 3 * 5 + 2 = 17. So, 3 $$\frac{2}{5}$$ = $$\frac{17}{5}$$ .

Convert the improper fraction $$\frac{9}{4}$$ to a mixed number.

Divide the numerator by the denominator: 9 ÷ 4 = 2 remainder 1. So, $$\frac{9}{4}$$ = 2 $$\frac{1}{4}$$ .

Write the improper fraction $$\frac{36}{5}$$ as a mixed number.

Divide 36 by 5: 36 ÷ 5 = 7 remainder 1. So, $$\frac{36}{5}$$ = 7 $$\frac{1}{5}$$ .

Write the mixed number 4 $$\frac{1}{3}$$ as an improper fraction.

Multiply 4 by 3 and add 1: 4 * 3 + 1 = 13. So, 4 $$\frac{1}{3}$$ = $$\frac{13}{3}$$ .

What is a proper fraction?

A proper fraction is a fraction where the numerator is less than the denominator. For example, $$\frac{3}{4}$$ is a proper fraction.

How do you add two mixed numbers, like 1 $$\frac{1}{2}$$ + 2 $$\frac{2}{3}$$ ?

Convert both to improper fractions: 1 $$\frac{1}{2}$$ = $$\frac{3}{2}$$ and 2 $$\frac{2}{3}$$ = $$\frac{8}{3}$$ . Then find a common denominator and add.

What is the first step in converting an improper fraction to a mixed number?

Divide the numerator by the denominator to find the whole number part.

What is the first step in converting a mixed number to an improper fraction?

Multiply the whole number by the denominator and add the numerator.

Write the improper fraction $$\frac{28}{6}$$ as a mixed number.

Divide 28 by 6: 28 ÷ 6 = 4 remainder 4. So, $$\frac{28}{6}$$ = 4 $$\frac{4}{6}$$ or 4 $$\frac{2}{3}$$ after simplification.

What is the improper fraction for the mixed number 5 $$\frac{3}{4}$$ ?

Multiply 5 by 4 and add 3: 5 * 4 + 3 = 23. So, 5 $$\frac{3}{4}$$ = $$\frac{23}{4}$$ .

How do you simplify the improper fraction $$\frac{32}{6}$$ ?

Divide both the numerator and denominator by their greatest common divisor, which is 2: $$\frac{32 ÷ 2}{6 ÷ 2} = \frac{16}{3}$$ .

What is the definition of a fraction?

A fraction represents a part of a whole and consists of a numerator and a denominator.

Improper and Mixed Fractions Visual Flashcards

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