Dividing Fractions with models & ratios

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 3 \frac{2}{3}.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 3 \frac{2}{3} becomes \frac{11}{3}.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \frac{11}{3}.

Front

Convert the mixed number 7 \frac{2}{3} to an improper fraction.

Back

\frac{23}{3}.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find a missing value in a ratio table?

Back

Use equivalent ratios to find the missing value by setting up a proportion.

Front

Convert the improper fraction \frac{32}{10} to a mixed number.

Back

3 \frac{2}{10}.

Front

What is the process to change an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fraction.

Front

What is the value of a if the ratio a:b is 1:3 and b = 108?

Back

a = 36.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, such as 1:2 and 2:4.