Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a number that consists of a whole number and a fraction part.

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 over the denominator is the fractional part.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

Convert the improper fraction \( \frac{43}{6} \) to a mixed number.

Back

The mixed number is 7 \( \frac{1}{6} \).

Front

Convert the mixed number 5 \( \frac{3}{8} \) to an improper fraction.

Back

The improper fraction is \( \frac{43}{8} \).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the process to change \( \frac{15}{4} \) into a mixed number?

Back

Divide 15 by 4. The quotient is 3 and the remainder is 3, so the mixed number is 3 \( \frac{3}{4} \).

Front

What is the relationship between mixed numbers and improper fractions?

Back

Mixed numbers can be converted to improper fractions and vice versa; they represent the same value in different forms.

Front

Convert the mixed number 3 \( \frac{3}{4} \) to an improper fraction.

Back

The improper fraction is \( \frac{15}{4} \).

Front

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

Back

Multiply the whole number by the denominator of the fraction.