question 8 of 15, step 1 of 1 determine whether the following proportion is true or false…

question 8 of 15, step 1 of 1 determine whether the following proportion is true or false. $\frac{4\frac{3}{5}}{6\frac{2}{7}}=\frac{2\frac{3}{10}}{3\frac{2}{14}}$ answer true false

question 8 of 15, step 1 of 1 determine whether the following proportion is true or false. $\frac{4\frac{3}{5}}{6\frac{2}{7}}=\frac{2\frac{3}{10}}{3\frac{2}{14}}$ answer true false

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{3}{5}=\frac{4\times5 + 3}{5}=\frac{23}{5}$, $6\frac{2}{7}=\frac{6\times7+2}{7}=\frac{44}{7}$, $2\frac{3}{10}=\frac{2\times10 + 3}{10}=\frac{23}{10}$, $3\frac{2}{14}=\frac{3\times14+2}{14}=\frac{44}{14}=\frac{22}{7}$ The left - hand side of the proportion is $\frac{4\frac{3}{5}}{6\frac{2}{7}}=\frac{\frac{23}{5}}{\frac{44}{7}}=\frac{23}{5}\times\frac{7}{44}=\frac{161}{220}$ The right - hand side of the proportion is $\frac{2\frac{3}{10}}{3\frac{2}{14}}=\frac{\frac{23}{10}}{\frac{22}{7}}=\frac{23}{10}\times\frac{7}{22}=\frac{161}{220}$

Answer:

True