How To Multiply Mixed Numbers

TL;DR

Learn how to multiply mixed numbers by converting them to improper fractions first.

Transcript

in this video we're going to talk about how to multiply mixed numbers but before we do that we'll need to talk about how to convert mixed numbers into improper fractions first so for example let's say if we have the mixed number 3 and 2 7. how can we convert that into an improper fraction well the first thing that's going to stay the same is the de... Read More

Key Insights

• #️⃣ Converting mixed numbers to improper fractions involves multiplying the whole number by the denominator and adding the numerator.
• ✖️ To multiply mixed numbers, convert them to improper fractions, multiply the numerators, and multiply the denominators.
• 😑 To convert an improper fraction back to a mixed number, divide the numerator by the denominator and express the remainder as a fraction.
• ✖️ Simplifying the fractions before multiplication can make the calculations easier.
• 🪘 Long division can be used to convert improper fractions to mixed numbers.
• ✖️ The process of converting and multiplying mixed numbers and fractions requires a solid understanding of basic multiplication and division.
• ✖️ Multiplying mixed numbers involves multiplying improper fractions and can result in a mixed number or an improper fraction.

Questions & Answers

Q: How do you convert a mixed number to an improper fraction?

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Keep the denominator the same.

Q: What is the next step after converting mixed numbers to improper fractions?

After converting mixed numbers to improper fractions, you can multiply the numerators and multiply the denominators to multiply the mixed numbers.

Q: How can you convert an improper fraction back to a mixed number?

To convert an improper fraction to a mixed number, divide the numerator by the denominator. Express the remainder as a fraction over the denominator.

Q: Why is it helpful to convert mixed numbers to improper fractions before multiplying?

Converting mixed numbers to improper fractions simplifies the multiplication process as multiplying improper fractions is more straightforward than multiplying mixed numbers.

Summary & Key Takeaways

• To convert a mixed number to an improper fraction, keep the denominator the same and multiply the whole number by the denominator, then add the numerator.

• To multiply mixed numbers, convert them to improper fractions first, multiply the numerators, and multiply the denominators.

• To convert an improper fraction back to a mixed number, divide the numerator by the denominator and express the remainder as a fraction over the denominator.