Gen Rational Multiplication & Division

Match the rules

• The answer will be positive

• KEEP CHANGE FLIP

• The answer will be negative

• KEEP CHANGE CHANGE

• Multiplying fractions must be done

• Negative x Negative

• When dividing fractions you must first..

• Top x Top

  Bottom x Bottom

• When subtracting you can use this rule

• Negative x Positive

Emma and Michael are having a math duel! Emma says a negative number divided by a positive number is a ________. Who's right?

• positive

• negative

Answer explanation

A negative number divided by a positive number results in a negative quotient. Therefore, the correct answer is 'negative'.

Answer explanation

To multiply fractions, multiply the numerators and the denominators: \(\frac{2 \times -1}{5 \times 2} = \frac{-2}{10} = \frac{-1}{5}\). Thus, the correct answer is \(\frac{-1}{5}\).

Hey there, math whiz! Sophia and Harper are having a friendly math duel. Can you help them solve this fraction puzzle and make sure the answer is in its simplest form?

Answer explanation

The correct answer is -\frac{7}{8} because it is the simplest form of the fraction. The other options either represent the same value in a more complex form or are positive, which does not match the required negative value.

Answer explanation

To divide fractions, multiply by the reciprocal. Thus, \( \frac{1}{5} \div \frac{-2}{5} = \frac{1}{5} \times \frac{-5}{2} = \frac{-1}{2} \). The correct answer is \( \frac{-1}{2} \).

Hey math whiz! Can you help Michael solve this division puzzle?

• -1/10

• -5/8

• -2/20

• 5/8

Answer explanation

To divide two fractions, multiply by the reciprocal. For example, dividing -1/2 by 5/4 gives -1/2 * 4/5 = -4/10, which simplifies to -2/5. The correct answer is -5/8, as it matches the division of the given fractions.

• positive

• negative

Answer explanation

When dividing a positive number by a negative number, the result is always negative. Here, \(\frac{1}{4}\) is positive and \(\frac{-3}{5}\) is negative, so the answer is negative.

Answer explanation

Dividing a number by itself yields 1. Here, \( \frac{-8}{9} \div \left(\frac{-8}{9}\right) = 1 \). Thus, the correct answer is \( 1 \).

Aria's favorite peaches are $2.50 per pound at the bustling local farmers’ market. She joyfully bought 3 pounds of these juicy delights. How much did she spend in total?

• $6.00

• $7.50

• $5.00

• $6.50

Answer explanation

Tim bought 3 pounds of peaches at $2.50 per pound. To find the total cost, multiply 3 by 2.50: 3 x 2.50 = 7.50. Therefore, she spent $7.50.

Luna decided to unleash her inner designer and bought 2.5 meters of vibrant fabric to craft a dazzling patchwork quilt. With the fabric on sale for just $6.20 per meter, can you calculate how much Luna spent on her creative adventure?

• $15.50

• $155

• $15.65

• $1.55

Answer explanation

Sarah spent $6.20 per meter for 2.5 meters of fabric. To find the total cost, multiply: 2.5 x 6.20 = $15.50. Therefore, the correct answer is $15.50.