Converting Repeating Decimals into Fractions (Example)

The video tutorial explains how to convert the repeating decimal 0.42 into a fraction. It starts by defining the repeating decimal as a variable, then multiplies it by 100 to shift the decimal point. By subtracting the original equation from the new one, the repeating part is eliminated. Finally, the equation is solved to find the fraction 42/99, which is simplified to 14/33.

What is the repeating decimal discussed in the video?

• 0.24

• 0.24 repeating

• 0.42

• 0.42 repeating

Why do we multiply the equation by 100 in the conversion process?

• To eliminate the decimal point

• To simplify the fraction

• To move the repeating digits to the left of the decimal

• To make the number larger

What operation is performed after multiplying the equation by 100?

• Addition

• Division

• Multiplication

• Subtraction

What is the fraction obtained before simplification?

• 99 over 42

• 14 over 33

• 42 over 99

• 42 over 100

What is the simplified form of the fraction equivalent to 0.42 repeating?

• 7 over 22

• 21 over 66

• 42 over 99

• 14 over 33