Question

make like units. then add or subtract.

1. \\(\frac{3}{10} + \frac{1}{3} = \frac{3 \times 3}{10 \times 3} + \frac{1 \times 10}{3 \times 10}\\)

\\(= \underline{quadquadquad} + \underline{quadquadquad}\\)
\\(= \underline{quadquadquad}\\)

Explanation:

Step1: Calculate the numerator for the first fraction

We have \(\frac{3\times3}{10\times3}\), so \(3\times3 = 9\) and \(10\times3 = 30\), so the first fraction is \(\frac{9}{30}\).

Step2: Calculate the numerator for the second fraction

We have \(\frac{1\times10}{3\times10}\), so \(1\times10 = 10\) and \(3\times10 = 30\), so the second fraction is \(\frac{10}{30}\).

Step3: Add the two fractions

Now we add \(\frac{9}{30}+\frac{10}{30}\), and since the denominators are the same, we add the numerators: \(9 + 10 = 19\), so the result is \(\frac{19}{30}\).

Answer:

First blank: \(\frac{9}{30}\), Second blank: \(\frac{10}{30}\), Third blank: \(\frac{19}{30}\)