Dividing Mixed Numbers By Whole Numbers

TL;DR

Learn how to divide mixed numbers by whole numbers using the "keep change flip" method and long division.

Transcript

in this video we're going to divide it mixed numbers by whole numbers so let's start with this example let's say we have five and four over seven and we're going to divide it by two how can we do this the best thing we could do right now is convert the mixed number into an improper fraction so to do it let's rewrite the denominator which is seven a... Read More

Key Insights

• #️⃣ Converting a mixed number to an improper fraction is necessary before dividing by a whole number.
• 🐬 The "keep change flip" method is a helpful technique for multiplying two fractions.
• 🪘 Long division can be used to convert an improper fraction to a mixed number.

Questions & Answers

Q: How do you divide a mixed number by a whole number?

To divide a mixed number by a whole number, convert the mixed number to an improper fraction, multiply the two fractions using the "keep change flip" method, and convert the resulting fraction back to a mixed number using long division.

Q: What is the "keep change flip" method?

The "keep change flip" method is a way to divide fractions. You keep the first fraction the same, change division to multiplication, and flip the second fraction by swapping the numerator and denominator.

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

To convert an improper fraction to a mixed number, use long division. Divide the numerator by the denominator to find the whole number, and then find the remainder to represent the fractional part.

Q: Is there another way to convert an improper fraction to a mixed number?

Yes, another way is to identify the highest multiple of the denominator that is just below the numerator. Divide the numerator by the denominator to find the whole number, and subtract that multiple from the numerator to get the fractional part.

Summary & Key Takeaways

• To divide a mixed number by a whole number, convert the mixed number to an improper fraction.

• Use the "keep change flip" method to multiply the two fractions together.

• Convert the resulting fraction to a mixed number using long division.