Dividing Fractions

Front

What is the rule for Dividing Fractions?

Back

Keep, Change, Flip

Front

How do you divide a fraction by a whole number, for example, \( \frac{2}{5} \div 4 \)?

Back

Multiply the fraction by the reciprocal of the whole number: \( \frac{2}{5} \div 4 = \frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10} \)

Front

What is the quotient of \( \frac{3}{5} \div \frac{1}{1} \)?

Back

The quotient is \( \frac{3}{5} \) in lowest terms.

Front

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

Back

The result is 16/4, which simplifies to 4.

Front

How do you divide a fraction by another fraction, for example, \( \frac{2}{5} \div 3 \)?

Back

Multiply the fraction by the reciprocal of the second fraction: \( \frac{2}{5} \div 3 = \frac{2}{5} \times \frac{1}{3} = \frac{2}{15} \)

Front

What does 'Keep, Change, Flip' mean in the context of dividing fractions?

Back

'Keep' the first fraction, 'Change' the division sign to multiplication, and 'Flip' the second fraction to its reciprocal.

Front

What is the reciprocal of \( \frac{3}{4} \)?

Back

The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

Front

If you divide a fraction by 1, what is the result?

Back

The result is the same fraction; for example, \( \frac{2}{3} \div 1 = \frac{2}{3} \).

Front

How do you simplify the fraction \( \frac{8}{12} \)?

Back

Divide both the numerator and denominator by their greatest common divisor, which is 4: \( \frac{8 \div 4}{12 \div 4} = \frac{2}{3} \).

Front

What is the first step in dividing fractions?

Back

Identify the first fraction and the second fraction to be divided.