yasushi uses the number line to find $4\\frac{2}{8}-2\\frac{1}{2}=1\\frac{4}{8}$. what mistake did he make…

yasushi uses the number line to find $4\\frac{2}{8}-2\\frac{1}{2}=1\\frac{4}{8}$. what mistake did he make? what is the correct difference? click the icon to view the number line for the subtraction. select the correct choice below and fill in the answer box to complete your choice. (type a whole number, fraction, or mixed number.) a. after counting back $2\\frac{2}{8}$ to get to 2, he needed to add $\\frac{2}{8}$ more. the correct difference is. b. after counting back $2\\frac{2}{8}$ to get to 2, he needed to add $\\frac{6}{8}$ more. the correct difference is. c. after counting back $2\\frac{2}{8}$ to get to 2, he needed to subtract $\\frac{6}{8}$ more. the correct difference is. d. after counting back $2\\frac{2}{8}$ to get to 2, he needed to subtract $\\frac{2}{8}$ more. the correct difference is.

yasushi uses the number line to find $4\\frac{2}{8}-2\\frac{1}{2}=1\\frac{4}{8}$. what mistake did he make? what is the correct difference? click the icon to view the number line for the subtraction. select the correct choice below and fill in the answer box to complete your choice. (type a whole number, fraction, or mixed number.) a. after counting back $2\\frac{2}{8}$ to get to 2, he needed to add $\\frac{2}{8}$ more. the correct difference is. b. after counting back $2\\frac{2}{8}$ to get to 2, he needed to add $\\frac{6}{8}$ more. the correct difference is. c. after counting back $2\\frac{2}{8}$ to get to 2, he needed to subtract $\\frac{6}{8}$ more. the correct difference is. d. after counting back $2\\frac{2}{8}$ to get to 2, he needed to subtract $\\frac{2}{8}$ more. the correct difference is.

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{2}{8}=\frac{4\times8 + 2}{8}=\frac{32+2}{8}=\frac{34}{8}$ and $2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{4 + 1}{2}=\frac{5}{2}=\frac{20}{8}$

Step2: Calculate the correct difference

$\frac{34}{8}-\frac{20}{8}=\frac{34 - 20}{8}=\frac{14}{8}=1\frac{6}{8}$ Now analyze the options: $4\frac{2}{8}=4+\frac{2}{8}$, if we count back $2\frac{2}{8}=2+\frac{2}{8}$ from $4\frac{2}{8}$, we get $2$. Then to subtract the remaining part of $2\frac{1}{2}$ (since $2\frac{1}{2}-2\frac{2}{8}=\frac{5}{2}-\frac{18}{8}=\frac{20}{8}-\frac{18}{8}=\frac{2}{8}$), we need to add $\frac{6}{8}$ more to get the correct result.

Answer:

B. After counting back $2\frac{2}{8}$ to get to 2, he needed to add $\frac{6}{8}$ more. The correct difference is $1\frac{6}{8}$