Question

What are the steps to express 0.15 as a fraction in simplest form ? Order the following from 1-5

Answer 1

See below, please.

Explanation:

1. Write 0.15 as the fraction 15/100.
2. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 15 and 100 is 5.
3. Divide both 15 and 100 by 5. This gives 3/20.
4. The resulting fraction 3/20 is in its simplest form, as 3 and 20 have no common factors other than 1.
5. The final answer is 3/20.
6. So the order would be:
8. Write 0.15 as the fraction 15/100.
9. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 15 and 100 is 5.
10. Divide both 15 and 100 by 5. This gives 3/20.
11. The resulting fraction 3/20 is in its simplest form, as 3 and 20 have no common factors other than 1.
12. The final answer is 3/20.

Answer 2

0.15 expressed as a fraction in its simplest form is 3/20.

Explanation:

To express a terminating decimal as a fraction:

Step 1

Write the decimal as a fraction by dividing it by 1:

`\boxed{(0.15)/(1)}`

Step 2

Multiply the numerator and denominator by 10 for every number after the decimal point.

As there are two numbers after the decimal point, multiply the numerator and denominator by 100:

`\boxed{(0.15 * 100)/(1 * 100)=(15)/(100)}`

Step 3

Find the highest common factor (HCF) of the numerator and denominator.

• Factors of 15: 1, 3, 5 and 15.
• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50 and 100.

Therefore, the HCF of 15 and 100 is 5.

Divide the numerator and denominator by the HCF to reduce the fraction to its simplest form:

`\boxed{(15 / 5)/(100 / 5)=(3)/(20)}`

Conclusion

0.15 expressed as a fraction in its simplest form is 3/20.