Certainly! Let's find the sum of the fractions [tex]\(\frac{3}{5}\)[/tex] and [tex]\(\frac{4}{2}\)[/tex].
Step 1: Identify the fractions we are adding.
The fractions are [tex]\(\frac{3}{5}\)[/tex] and [tex]\(\frac{4}{2}\)[/tex].
Step 2: Convert each fraction to have a common denominator.
- For [tex]\(\frac{3}{5}\)[/tex], the denominator is 5.
- For [tex]\(\frac{4}{2}\)[/tex], the denominator is 2.
To add these fractions, we need a common denominator. The least common multiple of 5 and 2 is 10.
Step 3: Adjust the fractions to the common denominator.
- For [tex]\(\frac{3}{5}\)[/tex], we multiply both the numerator and the denominator by 2 to get the fraction [tex]\(\frac{6}{10}\)[/tex].
- For [tex]\(\frac{4}{2}\)[/tex], we multiply both the numerator and the denominator by 5 to get the fraction [tex]\(\frac{20}{10}\)[/tex].
Step 4: Add the fractions.
- Now we have [tex]\(\frac{6}{10} + \frac{20}{10}\)[/tex].
- Add the numerators: [tex]\(6 + 20 = 26\)[/tex].
- The common denominator remains 10.
So, [tex]\(\frac{6}{10} + \frac{20}{10} = \frac{26}{10}\)[/tex].
Step 5: Simplify the fraction if possible.
- [tex]\(\frac{26}{10}\)[/tex] can be expressed as a mixed number or a decimal if required.
- In decimal form, [tex]\(\frac{26}{10} = 2.6\)[/tex].
Thus, [tex]\(\frac{3}{5} + \frac{4}{2} = \frac{26}{10} = 2.6\)[/tex].
The detailed result is:
- Numerator: 26
- Denominator: 10
- Decimal form: 2.6
