Question

Express the recurring decimal 0.042 as a fraction in its simplest form.
Write your working in the box, below, and use x in the working.
Write fractions using the / sign. Eg you would write s 1/2

Answer 1

Answer:

7/165

Step-by-step explanation:

This is a mixed recurring decimal (the zero is not repeating)

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

Now ,the denominator:

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

7:165 = 0.0424242......

Answer 2

Based on the information given, the fraction will be 7/165.

From the information given, it can be noted that it's a mixed recurring decimal. In this case, we will have to take the number that's after the decimal point and then subtract the non-repeating.

Therefore, the recurring decimal 0.042 as a fraction in its simplest form will be 7/165.

Learn more about decimals on:

https://brainly.com/question/703656