Question

name siyah johnson guided practice do you understand? 1. in the problem on the previous page, would you get the same answer if you used an area model instead of fraction strips or a number line? explain. 2. what two fractions are being added below? what is the sum? 1/8 1/8 1/8 1/8 1/8 do you know how? for 3 - 4, find each sum. 3. 2/5 + 1/5 (with an image of a red bar labeled 1 and green bars labeled 1/5) 4. 1/6 + 1/6 (with a number line image showing 1/6 segments)

Explanation:

Question 3:

Step1: Identify the fractions

We have two fractions: $\frac{2}{5}$ and $\frac{1}{5}$. They have the same denominator, so we can add the numerators directly.

Step2: Add the numerators

The formula for adding fractions with the same denominator is $\frac{a}{c}+\frac{b}{c}=\frac{a + b}{c}$. Here, $a = 2$, $b = 1$, and $c = 5$. So we calculate $2+1 = 3$.

Step3: Write the result

Putting the sum of the numerators over the common denominator, we get $\frac{3}{5}$.

Step1: Identify the fractions

We have two fractions: $\frac{1}{6}$ and $\frac{1}{6}$. They have the same denominator, so we can add the numerators directly.

Step2: Add the numerators

Using the formula for adding fractions with the same denominator $\frac{a}{c}+\frac{b}{c}=\frac{a + b}{c}$, where $a = 1$, $b = 1$, and $c = 6$. We calculate $1+1 = 2$.

Step3: Write the result

Putting the sum of the numerators over the common denominator, we get $\frac{2}{6}$, which can be simplified to $\frac{1}{3}$ (but since the problem might just want the sum before simplification or as is, and $\frac{2}{6}$ is also correct, but usually we simplify. However, looking at the number line, we can see that two $\frac{1}{6}$ segments add up to $\frac{2}{6}=\frac{1}{3}$).

Looking at the blue boxes, the first group has two $\frac{1}{8}$s, so that's $\frac{2}{8}$, and the second group has three $\frac{1}{8}$s, so that's $\frac{3}{8}$. To find the sum, we add them: $\frac{2}{8}+\frac{3}{8}=\frac{2 + 3}{8}=\frac{5}{8}$.

Answer:

$\frac{3}{5}$

Question 4: