Answer:
[tex]\frac{25}{21}[/tex]
Step-by-step explanation:
First let's convert the mixed numbers into improper fractions.
[tex]3\frac{2}{7}=\frac{23}{7}[/tex]
[tex]1\frac{1}{2}=\frac{3}{2}[/tex]
[tex]6\frac{5}{7}=\frac{47}{7}[/tex]
Let the number be n, so we can write an equation from the word problem as:
[tex](n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}[/tex]
Now, we do algebra and solve for n:
[tex](n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}\\\frac{3}{2}n+\frac{69}{14}=\frac{47}{7}\\\frac{3}{2}n=\frac{47}{7}-\frac{69}{14}\\\frac{3}{2}n=\frac{25}{14}\\n=\frac{\frac{25}{14}}{\frac{3}{2}}\\n=\frac{25}{14}*\frac{2}{3}\\n=\frac{50}{42}\\n=\frac{25}{21}[/tex]
hence the number is 25/21
