GCSE Secondary Maths Age 13-17 - Number: Recurring Decimals - Explained

The video tutorial explains how to convert the recurring decimal 0.318 into a fraction using algebraic methods. It involves setting up equations to isolate the recurring part, solving these equations, and simplifying the resulting fraction to 7/22. The tutorial emphasizes the importance of understanding the algebraic process and provides a step-by-step guide to achieve the solution.

What is the first step in converting the recurring decimal 0.318 into a fraction using algebra?

• Add 1 to the decimal

• Divide by 10

• Set x equal to 0.318 recurring

• Multiply by 100

Why do we multiply the equation by 10 in the initial steps?

• To eliminate the decimal point

• To isolate the number 3

• To make the equation simpler

• To convert the decimal into a whole number

What is the purpose of multiplying the second equation by 100?

• To simplify the equation

• To convert the decimal into a fraction

• To move the decimal point two places to the right

• To eliminate the number 3

After subtracting the two equations, what is the resulting equation?

• x = 0.318

• 990x = 315

• 1000x = 318

• 10x = 3.18

What is the simplified fraction form of 0.318 recurring?

• 7/22

• 1/3

• 5/16

• 3/10