What is 5.2 as a fraction?

Steps to Solve

1. Identify the whole number and decimal part

The decimal 5.2 can be split into its whole number part and its decimal part. The whole number part is 5 and the decimal part is 0.2.

2. Convert the decimal part into a fraction

To convert the decimal part 0.2 into a fraction, recognize that 0.2 is equal to $\frac{2}{10}$.

3. Simplify the fraction

Now, simplify $\frac{2}{10}$. Divide both the numerator and the denominator by their greatest common divisor, which is 2.

$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$

4. Combine the whole number and the fraction

Now, combine the whole number with the simplified fraction. We can express the whole number 5 as a fraction:

$$ 5 = \frac{5}{1} $$

So we have:

$$ \frac{5}{1} + \frac{1}{5} $$

5. Find a common denominator

The common denominator for these two fractions is 5. Rewrite the first fraction $\frac{5}{1}$ as $\frac{25}{5}$:

$$ \frac{25}{5} + \frac{1}{5} $$

6. Add the fractions together

Now add the two fractions:

$$ \frac{25 + 1}{5} = \frac{26}{5} $$