Mixed Numbers & Improper Fractions Flashcards

All 6 cards in this deck

What is an improper fraction?

A fraction whose numerator is greater than or equal to its denominator, so its value is 1 or more.

e.g. $\frac{7}{3}$

What is a mixed number?

A whole number written together with a proper fraction.

e.g. $2\frac{1}{3}$

What are the steps to change a mixed number into an improper fraction?

e.g. $3\frac{2}{5}$

1. Multiply the whole number by the denominator: $3\times 5=15$
2. Add the numerator: $15+2=17$
3. Keep the same denominator: $\frac{17}{5}$

What are the steps to change an improper fraction into a mixed number?

e.g. $\frac{17}{5}$

1. Divide numerator by denominator: $17\div 5=3$ remainder 2
2. Whole number is 3, remainder goes over the denominator: $3\frac{2}{5}$

True or false? To change $3\frac{2}{5}$ into an improper fraction you multiply 3 by 2.

False.

You multiply the whole number by the denominator, then add the numerator: $\frac{17}{5}$.

What is the first step when multiplying or dividing mixed numbers?

Convert each mixed number into an improper fraction.

e.g. $2\frac{1}{3}=\frac{7}{3}$