Convert Any Decimal to a Fractions - easy math lesson | Summary and Q&A

TL;DR

Learn how to convert terminating decimals, like 0.5 and 0.75, into fractions, as well as recurring decimals, such as 0.1111, into fractions using algebraic tricks.

Key Insights

• ✋ Terminating decimals can be converted into fractions by finding the next higher number divisible by 10 and simplifying the fraction.
• 😫 Recurring decimals can be converted into fractions by setting up equations, subtracting them to eliminate the repeating pattern, and solving for the unknown variable.
• 🧑‍🏭 Simplifying fractions involves finding common factors between the numerator and denominator.
• 🆘 Converting decimals into fractions helps in comparing and understanding their numerical values.
• 🙃 Algebraic tricks, such as multiplying both sides by a specific number, can be used to manipulate the decimals and variables in equations.
• 🐎 Practice and familiarity with different types of decimals will improve the speed and accuracy of converting them into fractions.
• 💁 Simplifying fractions involves dividing both the numerator and denominator by a common factor to obtain the simplest form.

Transcript

good day and welcome to the tech math Channel what we're going to be having a look at in this video is we're going to be looking at converting between decimals into fractions okay so uh with this we're going to be looking uh there's a couple of tricks with this and we're going to be looking at some uh decimals which are a little bit more difficult ... Read More

Questions & Answers

Q: What are terminating decimals and how do you convert them to fractions?

Terminating decimals are decimals that have a finite number of digits, like 0.5 or 0.75. To convert them to fractions, you find the next higher number that is divisible by 10 and use it as the denominator. Then, simplify the fraction by finding a common factor between the numerator and denominator.

Q: How do you convert recurring decimals into fractions?

Recurring decimals are decimals that have a repeating pattern, such as 0.1111. To convert them to fractions, set up an equation with the decimal as the unknown variable. Multiply both sides of the equation to eliminate the repeating pattern. Then, subtract the equations to isolate the variable and solve for it. The variable will represent the fraction.

Q: Can you provide an example of converting a terminating decimal to a fraction?

Sure! Let's take the decimal 0.75. The next higher number divisible by 10 is 100. So, we have 75/100. Since both the numerator and denominator are divisible by 25, we can simplify the fraction to 3/4.

Q: Can you show another example of converting a recurring decimal to a fraction?

Of course! Let's consider the decimal 0.242424. By setting it as the unknown variable x, we can multiply both sides by 100 to eliminate the repeating pattern. This gives us 100x = 24. After subtracting the equations, we get 99x = 24. Dividing both sides by 99, we find that x is equal to 24/99.

Summary & Key Takeaways

• The video explains how to convert terminating decimals into fractions by finding a common factor between the numerator and denominator and simplifying the fraction.

• It also demonstrates the technique for converting recurring decimals into fractions by setting up equations and solving for the unknown variable.

• The video provides examples for both types of decimals and walks through the steps of converting them into fractions.