Q2 Review - Multiply and Divide Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 \frac{1}{2}.

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 that over the original denominator. For example, 1 \frac{3}{4} = \frac{(1 \times 4) + 3}{4} = \frac{7}{4}.

Front

What does 'of' mean in mathematical terms?

Back

In mathematics, 'of' typically indicates multiplication. For example, '3/4 of 200' means \frac{3}{4} \times 200.

Front

How do you multiply mixed numbers?

Back

Convert each mixed number to an improper fraction, multiply the fractions, and simplify if necessary.

Front

What is the result of multiplying a number by a fraction less than 1?

Back

The result will be less than the original number. For example, 12 \times \frac{3}{4} = 9.

Front

How do you divide a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction, multiply by the reciprocal of the fraction, and simplify.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of \frac{3}{4} is \frac{4}{3}.

Front

What is the first step in solving a division problem involving fractions?

Back

Convert any mixed numbers to improper fractions before proceeding with the division.

Front

If you have 3/4 of a cake and eat 1/2 of it, how much cake did you eat?

Back

You ate \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} of the cake.

Front

What is the result of dividing a whole number by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, 12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 16.