Division of Rational Numbers

TL;DR

Practice dividing rational numbers, including finding multiplicative inverses and dividing fractions.

Transcript

Let's do a little bit of practice dividing rational numbers, or another way to think about it, dividing fractions. Same thing. So we have part A. Well, number 1. Find the multiplicative inverse of each of the following. Now, all that means is if I have some number a, its inverse is going to be 1/a. When I take a number and I multiply it by its mult... Read More

Key Insights

• ✖️ The multiplicative inverse of a number a is 1/a, and when multiplied together, they equal 1.
• ❓ The inverse of a fraction is found by swapping the numerator and denominator.
• #️⃣ Dividing rational numbers is the same as multiplying by the multiplicative inverse of the second number.
• 🗂️ Simplifying rational numbers involves dividing the numerator and denominator by their greatest common divisor.

Questions & Answers

Q: How do you find the multiplicative inverse of a number?

The multiplicative inverse of a number is simply 1 divided by that number. For example, the multiplicative inverse of 100 is 1/100.

Q: What is the inverse of a fraction?

To find the inverse of a fraction, swap the numerator with the denominator. For example, the inverse of 2/8 is 8/2.

Q: How do you divide rational numbers?

Dividing rational numbers is the same as multiplying by the multiplicative inverse of the second number. For example, 5/2 divided by 1/4 is the same as 5/2 multiplied by 4/1.

Q: How do you simplify the answers when dividing rational numbers?

To simplify, divide the numerator and denominator by their greatest common divisor. For example, 35/66 can be simplified to 5/9 by dividing both numbers by 7.

Summary & Key Takeaways

• The video demonstrates how to find the multiplicative inverse of different numbers and fractions.

• It explains the pattern of swapping the numerator and denominator to find the inverse of a fraction.

• The video also guides viewers on dividing rational numbers and simplifying the answers to their simplest form.