Question

fractions with denominators of 10 & 100
find the sum.
\\(\frac{3}{10} + \frac{8}{100} = \frac{\square}{100}\\)

Explanation:

Step1: Convert to common denominator

To add \(\frac{3}{10}\) and \(\frac{8}{100}\), we need a common denominator. The common denominator of 10 and 100 is 100. So we convert \(\frac{3}{10}\) to a fraction with denominator 100. Multiply numerator and denominator of \(\frac{3}{10}\) by 10: \(\frac{3\times10}{10\times10}=\frac{30}{100}\).

Step2: Add the fractions

Now we add \(\frac{30}{100}\) and \(\frac{8}{100}\). When adding fractions with the same denominator, we add the numerators: \(\frac{30 + 8}{100}=\frac{38}{100}\).

Answer:

38