How do you change 2.9 into a fraction?

Question

otoplilp1 · Accepted Answer

2.9 is two and nine tenths.  2.9=2910 as a mixed fraction.  As an improper fraction it would be:  2910=10×2+910=2910

Beverly Smith · Accepted Answer

You can take any number, such as 2.9, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

\frac{2.9}{1}

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 2.9, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 10 to get the following fraction:

\frac{29}{10}

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 29 and 10 is 1. When we divide the numerator and denominator by 1, we get the following:

\frac{29}{10}

Therefore, 2.9 as a fraction is as follows:

\frac{29}{10}

Bonus: If the answer above is an improper fraction, then we also display the mixed number answer below:

2 \frac{9}{10}

Vasquez · Accepted Answer

Step 1: Write down the number as a fraction of one:
$2.9 = \frac{2.9}{1}$
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
$\frac{2.9}{1} = \frac{(2.9 \times 10)}{(1 \times 10)} = \frac{29}{10}$
(This fraction is alread reduced, We can't reduce it any further).
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express
it as a MIXED NUMBER, thus $\frac{29}{10}$ is also equal to $2 \frac{9}{10}$
when expressed as a mixed number.

How do you change 2.9 into a fraction?

Answered question

Answer & Explanation

New Questions in Pre-Algebra