0.1 as a Fraction | 0.1 as a Percent

The simplified form of 0.1 is equal to 1/10. In this post, we will write the decimal 0.1 as a fraction as well as a percentage.

Question: What is 0.1 as a fraction?

Answer: 0.1 as a fraction is equal to 1/10.

Solution:

The below steps have to be followed to express the decimal 0.1 as a fraction.

Step 1:

At first, remove the decimal and write it. So we have to note down the number 01.

Step 2:

Next, we need to divide the number obtained in step 1 by 10¹=10 as there is only one digit after the decimal.

Therefore, 0.1 = $\dfrac{01}{10}$ = $\dfrac{1}{10}$ as 0 has no value if placed before a number.

Step 3:

Now, simplify the above fraction $\dfrac{1}{10}$ in its lowest terms.

See that there is no common divisor of 1 and 10 other than 1, so we cannot simplify the fraction $\dfrac{1}{10}$ further.

So, 1/10 is the simplest form of 0.1 as a fraction.

Video solution of 0.1 as a fraction:

Question: What is 0.1 as a percentage?

Answer: 0.1 as a percentage is equal to 10%.

Solution:

0.1 as a percentage can be obtained by multiplying it by 100.

Thus, 0.1 as a percent

= (0.1 × 100) %

= $\dfrac{1}{10}$ × 100 [by Question 1]

= $\dfrac{100}{10}$

= $\dfrac{\cancel{10} \times 10}{\cancel{10}}$

= 10%

So 0.1 as a percent is 10%.

FAQs