Fractions as Division

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

How can fractions be interpreted as division?

Back

Fractions can be interpreted as division by understanding that the numerator is divided by the denominator (e.g., 3/4 means 3 divided by 4).

Front

What is the process to divide a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction (e.g., dividing 6 by 1/2 is the same as multiplying 6 by 2/1).

Front

How do you find the amount each person gets when sharing a quantity?

Back

To find the amount each person gets, divide the total quantity by the number of people sharing it (e.g., total quantity ÷ number of people).

Front

What is the mixed number representation of a fraction?

Back

A mixed number combines a whole number and a proper fraction (e.g., 1 1/4 is a mixed number representing 1 whole and 1/4).

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 to find the whole number, and use the remainder as the new numerator over the original denominator.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into, while the numerator indicates how many of those parts are being considered.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the formula for finding the amount of material used per item?

Back

To find the amount of material used per item, divide the total amount of material by the number of items (e.g., total material ÷ number of items).

Front

How do you convert quarts to gallons?

Back

To convert quarts to gallons, divide the number of quarts by 4, since there are 4 quarts in a gallon.