Multiplying Fractions

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What is the first step in multiplying fractions?

Multiply the numerators of the fractions.

What is the second step in multiplying fractions?

Multiply the denominators of the fractions.

Do you need a common denominator to multiply fractions?

No, a common denominator is not required.

How do you simplify a fraction after multiplying?

Divide both numerator and denominator by their greatest common factor.

What is an example of multiplying fractions?

Multiply \(\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}\), simplified to \(\frac{1}{2}\).

What happens to whole numbers when multiplying with fractions?

Multiply the whole number by the fraction's numerator.

What is the result of multiplying any fraction by 1?

The fraction remains unchanged.

How does multiplying fractions relate to area models?

The product represents the intersection area of fraction parts.

Can negative fractions be multiplied the same way as positive fractions?

Yes, but the product follows sign rules: negative x positive = negative.

What is the product of \(\frac{1}{2} \times \frac{2}{5}\)?

\(\frac{1}{5}\).

How do you multiply fractions with mixed numbers?

Convert the mixed numbers to improper fractions first.

What do you do after multiplying fractions and getting \(\frac{12}{16}\)?

Simplify to \(\frac{3}{4}\) by dividing by the GCD, 4.

What is the meaning of cross simplify while multiplying?

Reduce fractions where possible before actual multiplication.

What is \(\frac{1}{6} \times 3\)?

\(\frac{1}{2}\).

Why do you sometimes not simplify right away in multiplying?

It might be complex, so simplifying after multiplication could be clearer.


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1. What is the first step in multiplying fractions?

Cross multiply and simplify directly.

Simplify the fractions before multiplying.

Multiply the numerators of the fractions.

Multiply the fractions by a common factor.

2. What is the second step in multiplying fractions?

Add the numerators and denominators separately.

Multiply the denominators of the fractions.

Find the reciprocal of the fractions.

Divide the fractions.

3. Do you need a common denominator to multiply fractions?

No, a common denominator is not required.

Yes, always find a common denominator first.

Only when the fractions are complex.

Sometimes, depending on the type of fractions.

4. How do you simplify a fraction after multiplying?

Add a constant to both numbers.

Divide both numerator and denominator by their greatest common factor.

Multiply the numerator by the whole number.

Subtract the larger numerator from the smaller one.

5. What happens to whole numbers when multiplying with fractions?

They are added to the fraction's numerator.

Multiply the whole number by the fraction's numerator.

Convert the whole number to a denominator.

Only the denominator is multiplied.

6. What is the result of multiplying any fraction by 1?

The fraction turns into a decimal.

The fraction increases by 1.

The fraction gets inverted.

The fraction remains unchanged.

7. Can negative fractions be multiplied the same way as positive fractions?

Yes, but the product follows sign rules: negative x positive = negative.

Yes, only if they have a common denominator.

No, a different method is used for negative fractions.

Yes, except with mixed numbers.

8. What is the product of \(\frac{1}{2} \times \frac{2}{5}\)?

\(\frac{3}{10}\).

\(\frac{2}{7}\).

\(\frac{4}{10}\).

\(\frac{1}{5}\).

9. How do you multiply fractions with mixed numbers?

Add the mixed numbers together first.

Multiply the whole numbers separately from the fractions.

Convert the mixed numbers to improper fractions first.

Simplify the fractions before converting them.

10. What is \(\frac{1}{6} \times 3\)?

\(\frac{1}{7}\).

\(\frac{3}{6}\).

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

\(\frac{1}{2}\).