Dividing Fractions

Front

What is the result of dividing a fraction by itself?

Back

The result is always 1, as any non-zero number divided by itself equals 1.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

What is the quotient of \( \frac{1}{2} \div \frac{2}{3} \)?

Back

The quotient is \( \frac{1}{2} \times \frac{3}{2} = \frac{3}{4} \).

Front

How do you simplify a fraction?

Back

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

Front

What is the lowest terms of \( \frac{12}{20} \)?

Back

The lowest terms of \( \frac{12}{20} \) is \( \frac{3}{5} \).

Front

What is the result of \( \frac{1}{2} \div 1 \frac{3}{4} \)?

Back

The result is \( \frac{1}{2} \div \frac{7}{4} = \frac{1}{2} \times \frac{4}{7} = \frac{4}{14} \).

Front

What does it mean to find the quotient of two fractions?

Back

Finding the quotient of two fractions means determining how many times the second fraction fits into the first.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

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 over the original denominator.