Mixed Numbers & Improper Fractions Flashcards

All 5 cards in this deck

What is an improper fraction?

A fraction whose numerator is greater than or equal to its denominator.
e.g. $\frac{7}{3}$

What are the steps to write a mixed number as an improper fraction?
e.g. $2\frac{1}{3}$

1. Multiply the whole number by the denominator: $2\times3=6$
2. Add the numerator: $6+1=7$
3. Keep the same denominator: $\frac{7}{3}$

What are the steps to write an improper fraction as a mixed number?
e.g. $\frac{17}{5}$

1. Divide numerator by denominator: $17\div5=3$ remainder $2$
2. The quotient is the whole number: $3$
3. The remainder is the new numerator: $3\frac{2}{5}$

True or false? An improper fraction is always greater than 1.

False. It is greater than or equal to 1, e.g. $\frac{5}{5}=1$.

True or false? When a mixed number is converted to an improper fraction, the denominator stays the same.

True. Only the numerator changes, e.g. $3\frac{1}{4}=\frac{13}{4}$.