Fractions as Division

Front

What is the definition of a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

How can a fraction be interpreted as a division?

Back

A fraction a/b can be interpreted as the division of a by b, meaning how many times b fits into a.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, representing a value greater than one.

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 the remainder becomes the new numerator over the original denominator.

Front

What is the quotient of 37 divided by 6 expressed as a mixed number?

Back

The quotient of 37 divided by 6 is 6 1/6.

Front

What is the relationship between division and fractions?

Back

Division can be expressed as a fraction, where the dividend is the numerator and the divisor is the denominator.

Front

How do you solve for a missing number in a division equation?

Back

To solve for a missing number in a division equation, multiply the known number by the result to find the missing divisor or dividend.

Front

What is the result of dividing 70 by 8 expressed as a mixed number?

Back

The result of dividing 70 by 8 is between 8 and 9.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What does it mean to share equally in a division context?

Back

Sharing equally means dividing a total amount into equal parts, where each part is the same size.