Multiplying Mixed Numbers and Fractions

TL;DR

Learn how to multiply mixed numbers by fractions by converting them into improper fractions, performing the multiplication, and converting back to mixed numbers.

Transcript

in this lesson we're going to talk about how to multiply a mixed number by a fraction so let's start with this example let's say if we have three and two-fifths and we wish to multiply by four over three how can we do so so what i'm going to do is convert the mixed number into an improper fraction and so the denominator of the mixed number will sta... Read More

Key Insights

• #️⃣ Multiplying a mixed number by a fraction involves converting the mixed number to an improper fraction, multiplying across, and converting back to a mixed number.
• #️⃣ Long division is used to convert an improper fraction to a mixed number, finding the whole number and the remainder.
• #️⃣ Converting mixed numbers to improper fractions and vice versa is an essential skill in multiplying mixed numbers by fractions.
• ✖️ The process of multiplying mixed numbers by fractions requires a solid understanding of multiplication and conversion between mixed numbers and improper fractions.
• #️⃣ The denominator of the mixed number remains the same when converting it to an improper fraction.
• ✖️ Multiplying fractions involves multiplying the numerators and denominators.
• #️⃣ Long division is used to find the whole number when converting an improper fraction back to a mixed number.

Questions & Answers

Q: How do you multiply a mixed number by a fraction?

To multiply a mixed number by a fraction, convert the mixed number to an improper fraction, multiply across, and then convert the resulting improper fraction back into a mixed number using long division.

Q: What is the first step in multiplying a mixed number by a fraction?

The first step is to convert the mixed number into an improper fraction by multiplying the whole number by the denominator and adding the numerator.

Q: How do you multiply fractions when both numbers are mixed numbers?

When both numbers are mixed numbers, convert both of them into improper fractions, multiply across, and then convert the resulting improper fraction back into a mixed number.

Q: What is the purpose of using long division when converting to a mixed number?

Long division is used to find how many times the denominator goes into the numerator, resulting in the whole number of the mixed number. The remainder becomes the numerator, and the denominator remains the same.

Summary & Key Takeaways

• The lesson teaches how to multiply a mixed number by a fraction, using examples and step-by-step explanations.

• The process involves converting the mixed number into an improper fraction, multiplying across, and then converting back to a mixed number.

• Long division is used to convert the resulting improper fraction back into a mixed number.