Answer:
No
Step-by-step explanation:
6 and three-fourths divided by nine divided by 10 is
[tex] 6 \frac{3}{4} \div 9 \div 10 [/tex]
6 and three-fourths divided by nine-tenths is
[tex]6\frac{3}{4} \div \dfrac{9}{10}[/tex]
Now we need to evaluate each expression.
Evaluate the first expression
[tex] 6 \frac{3}{4} \div 9 \div 10 = [/tex]
[tex] = 6.75 \div 9 \div 10 [/tex]
Do the divisions, one at a time, from left to right in the order they appear.
[tex] = 0.75 \div 10 [/tex]
[tex] = 0.075 [/tex]
Evaluate the second expression
[tex]6\frac{3}{4} \div \dfrac{9}{10} =[/tex]
[tex] = \dfrac{27}{4} \div \dfrac{9}{10} [/tex]
[tex] = \dfrac{27}{4} \times \dfrac{10}{9} [/tex]
[tex] = \dfrac{27 \times 10}{4 \times 9} [/tex]
[tex] = \dfrac{270}{36} [/tex]
[tex] = 7.5 [/tex]
As you can see, the expressions are not equal as the first one equals 0.075, and the second one equals 7.5
