Question

activity 2
first use multiplication to write an equivalent fraction. then add
the fractions.
model
\\(\frac{1}{2}+\frac{4}{6}=?\\)
\\(\frac{1}{2}=\frac{1 \times \boxed{3}}{2 \times \boxed{3}}=\frac{\boxed{3}}{\boxed{6}}\\) \\(\frac{3}{6}\\)\\(\frac{1}{2}+\frac{4}{6}=\frac{7}{6}\\)

1. \\(\frac{1}{4}+\frac{2}{8}=?\\)

\\(\frac{1}{4}=\frac{1 \times \boxed{\quad}}{4 \times \boxed{\quad}}=\frac{\boxed{\quad}}{\boxed{\quad}}\\)
\\(\frac{1}{4}+\frac{2}{8}=\underline{\qquad}\\)

1. \\(\frac{1}{3}+\frac{1}{9}=?\\)

\\(\frac{1}{3}=\frac{1 \times \boxed{\quad}}{3 \times \boxed{\quad}}=\frac{\boxed{\quad}}{\boxed{\quad}}\\)
\\(\frac{1}{3}+\frac{1}{9}=\underline{\qquad}\\)

1. \\(\frac{3}{10}+\frac{1}{5}=?\\)

\\(\frac{1}{5}=\frac{1 \times \boxed{\quad}}{5 \times \boxed{\quad}}=\frac{\boxed{\quad}}{\boxed{\quad}}\\)
\\(\frac{3}{10}+\frac{1}{5}=\underline{\qquad}\\)

1. \\(\frac{3}{8}+\frac{1}{2}=?\\)

\\(\frac{1}{2}=\frac{1 \times \boxed{\quad}}{2 \times \boxed{\quad}}=\frac{\boxed{\quad}}{\boxed{\quad}}\\)
\\(\frac{3}{8}+\frac{1}{2}=\underline{\qquad}\\)

1. \\(\frac{4}{6}+\frac{2}{3}=?\\)

\\(\frac{2}{3}=\frac{2 \times \boxed{\quad}}{3 \times \boxed{\quad}}=\frac{\boxed{\quad}}{\boxed{\quad}}\\)
\\(\frac{4}{6}+\frac{2}{3}=\underline{\qquad}\\)

Explanation:

Step1: Find common denominator for Q1

The denominator of $\frac{2}{8}$ is 8, so convert $\frac{1}{4}$ to denominator 8.
$\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}$

Step2: Add fractions for Q1

Add the numerators with same denominator.
$\frac{1}{4}+\frac{2}{8}=\frac{2}{8}+\frac{2}{8}=\frac{4}{8}$

Step3: Find common denominator for Q2

The denominator of $\frac{1}{9}$ is 9, so convert $\frac{1}{3}$ to denominator 9.
$\frac{1}{3}=\frac{1 \times 3}{3 \times 3}=\frac{3}{9}$

Step4: Add fractions for Q2

Add the numerators with same denominator.
$\frac{1}{3}+\frac{1}{9}=\frac{3}{9}+\frac{1}{9}=\frac{4}{9}$

Step5: Find common denominator for Q3

The denominator of $\frac{3}{10}$ is 10, so convert $\frac{1}{5}$ to denominator 10.
$\frac{1}{5}=\frac{1 \times 2}{5 \times 2}=\frac{2}{10}$

Step6: Add fractions for Q3

Add the numerators with same denominator.
$\frac{3}{10}+\frac{1}{5}=\frac{3}{10}+\frac{2}{10}=\frac{5}{10}$

Step7: Find common denominator for Q4

The denominator of $\frac{3}{8}$ is 8, so convert $\frac{1}{2}$ to denominator 8.
$\frac{1}{2}=\frac{1 \times 4}{2 \times 4}=\frac{4}{8}$

Step8: Add fractions for Q4

Add the numerators with same denominator.
$\frac{3}{8}+\frac{1}{2}=\frac{3}{8}+\frac{4}{8}=\frac{7}{8}$

Step9: Find common denominator for Q5

The denominator of $\frac{4}{6}$ is 6, so convert $\frac{2}{3}$ to denominator 6.
$\frac{2}{3}=\frac{2 \times 2}{3 \times 2}=\frac{4}{6}$

Step10: Add fractions for Q5

Add the numerators with same denominator.
$\frac{4}{6}+\frac{2}{3}=\frac{4}{6}+\frac{4}{6}=\frac{8}{6}$

Answer:

1. $\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}$; $\frac{1}{4}+\frac{2}{8}=\frac{4}{8}$
2. $\frac{1}{3}=\frac{1 \times 3}{3 \times 3}=\frac{3}{9}$; $\frac{1}{3}+\frac{1}{9}=\frac{4}{9}$
3. $\frac{1}{5}=\frac{1 \times 2}{5 \times 2}=\frac{2}{10}$; $\frac{3}{10}+\frac{1}{5}=\frac{5}{10}$
4. $\frac{1}{2}=\frac{1 \times 4}{2 \times 4}=\frac{4}{8}$; $\frac{3}{8}+\frac{1}{2}=\frac{7}{8}$
5. $\frac{2}{3}=\frac{2 \times 2}{3 \times 2}=\frac{4}{6}$; $\frac{4}{6}+\frac{2}{3}=\frac{8}{6}$