Question

1. pookie weighs $2\frac{7}{8}$ pounds. rascal weighs $3\frac{3}{8}$ pounds. what is the total weight of both cats? select the correct sum. 4.ar.22, 4.ar.12

a $2\frac{10}{8}$
b $6\frac{2}{8}$
c $5\frac{7}{8}$
d 6

1. select all correct sums. 4.ar.22

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

Explanation:

Problem 18:

Step1: Identify the weights

Pookie's weight: $2\frac{7}{8}$ pounds, Rascal's weight: $3\frac{3}{8}$ pounds.

Step2: Add the whole numbers and fractions separately

Whole numbers: $2 + 3 = 5$
Fractions: $\frac{7}{8} + \frac{3}{8} = \frac{10}{8} = 1\frac{2}{8}$

Step3: Combine the results

$5 + 1\frac{2}{8} = 6\frac{2}{8}$

• Checked each addition by separating whole numbers and fractions, then combining.
• Correct sums: $1\frac{7}{8} + 2\frac{7}{8} = 4\frac{6}{8}$ and $3\frac{4}{10} + 2\frac{8}{10} = 6\frac{2}{10}$.

Answer:

B. $6\frac{2}{8}$

Problem 19:

We check each sum:

1. For $5\frac{1}{3} + 3\frac{1}{3}$:

• Whole numbers: $5 + 3 = 8$
• Fractions: $\frac{1}{3} + \frac{1}{3} = \frac{2}{3}$
• Result: $8\frac{2}{3}

eq 9\frac{2}{3}$ → Incorrect.

1. For $2\frac{4}{5} + 1\frac{3}{5}$:

• Whole numbers: $2 + 1 = 3$
• Fractions: $\frac{4}{5} + \frac{3}{5} = \frac{7}{5} = 1\frac{2}{5}$
• Result: $3 + 1\frac{2}{5} = 4\frac{2}{5}

eq 3\frac{2}{5}$ → Incorrect.

1. For $1\frac{7}{8} + 2\frac{7}{8}$:

• Whole numbers: $1 + 2 = 3$
• Fractions: $\frac{7}{8} + \frac{7}{8} = \frac{14}{8} = 1\frac{6}{8}$
• Result: $3 + 1\frac{6}{8} = 4\frac{6}{8}$ → Correct.

1. For $3\frac{4}{10} + 2\frac{8}{10}$:

• Whole numbers: $3 + 2 = 5$
• Fractions: $\frac{4}{10} + \frac{8}{10} = \frac{12}{10} = 1\frac{2}{10}$
• Result: $5 + 1\frac{2}{10} = 6\frac{2}{10}$ → Correct.

1. For $3\frac{5}{6} + 2\frac{4}{6}$:

• Whole numbers: $3 + 2 = 5$
• Fractions: $\frac{5}{6} + \frac{4}{6} = \frac{9}{6} = 1\frac{3}{6} = 1\frac{1}{2}$
• Result: $5 + 1\frac{1}{2} = 6\frac{1}{2}

eq 5\frac{4}{6}$ → Incorrect.