What is 2.9 as a fraction. Explain how you got your answer.
2.9 can be written as a fraction as follows:
2.9 = 29/10
To convert a decimal to a fraction, we first write the decimal as a fraction with the same denominator as 10, which is a power of 10. Then, we simplify the fraction as much as possible.
We can write 2.9 as 2 + 0.9. Since 0.9 is equal to 9/10, we can write:
2.9 = 2 + 9/10
To write this as a single fraction, we need to find a common denominator. The least common multiple of 10 is 10 itself, so we can write:
2.9 = 2*(10/10) + 9/10
= 20/10 + 9/10
Now, we can add the fractions:
2.9 = (20 + 9)/10
= 29/10
Therefore, 2.9 as a fraction is 29/10.
To express 2.9 as a fraction, we follow these steps:
Step 1: Write down the decimal as a fraction.
In this case, 2.9 can be written as 2.9/1.
Step 2: Remove the decimal point.
To remove the decimal point, we multiply both the numerator and the denominator by a power of 10 that moves the decimal point to the right.
In this case, we move the decimal point one place to the right, so we multiply both the numerator and denominator by 10:
2.9/1 = (2.9 × 10)/(1 × 10) = 29/10
Step 3: Simplify the fraction (if required).
Upon simplifying, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.
29/10 is in its simplest form and cannot be simplified further.
Therefore, 2.9 as a fraction is 29/10.