Multiplying Fractions

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What is the first step in multiplying two fractions?

Multiply the numerators of the fractions together to get the numerator of the answer.

What is the second step in multiplying two fractions?

Multiply the denominators of the fractions together to get the denominator of the answer.

How do you simplify a fraction after multiplying?

Find the greatest common divisor (GCD) of the numerator and denominator and divide them both by it.

What operation is used for the numerator in fraction multiplication?

Multiplication.

What operation is used for the denominator in fraction multiplication?

Multiplication.

If you have the fractions \( \frac{2}{3} \) and \( \frac{4}{5} \), what is their product?

\( \frac{8}{15} \).

True or False: When multiplying fractions, you must have common denominators.

False. You do not need common denominators when multiplying fractions.

What does it mean to multiply fractions ‘across’?

It means multiplying the numerators together and the denominators together.

Can you multiply a fraction by a whole number? If so, how?

Yes, multiply the whole number by the numerator and keep the same denominator. Convert the whole number to a fraction if needed.

If a fraction is multiplied by zero, what is the product?

Zero.

How do you handle mixed numbers when multiplying fractions?

Convert the mixed numbers to improper fractions, then multiply.

What is the product of \( \frac{1}{2} \times \frac{2}{3} \)?

\( \frac{1}{3} \).

Why is it helpful to simplify fractions before multiplying?

Simplifying before multiplying can make calculations easier and reduce the chance of errors.

If a fraction is multiplied by its reciprocal, what is the result?

One.

Describe a real-life scenario where multiplying fractions is used.

Cooking: If a recipe requires \( \frac{3/4} \) of a cup of sugar and a third of the recipe is needed, multiply \( \frac{3/4} \) by \( \frac{1/3} \) to find the amount needed.