dividing mixed numbers by whole numbers

[trabian]

how do i divide 2 3/4 divided by 6 please help asap

 

[soroban]

Hello, trabian!

\(\displaystyle \text{How do i divide }2\tfrac{3}{4}\text{ by }6\:?\)

\(\displaystyle 2\tfrac{3}{4} \div 6 \;=\;\frac{11}{4} \div \frac{6}{1} \;=\;\frac{11}{4} \times \frac{1}{6} \;=\;\frac{11}{24}\)

 

[lookagain]

Hello, trabian!

\(\displaystyle \text{How do i divide }2\tfrac{3}{4}\text{ by }6\:?\)

\(\displaystyle 2\tfrac{3}{4} \div 6 \;=\;\frac{11}{4} \div \frac{6}{1} \;=\;\frac{11}{4} \times \frac{1}{6} \;=\;\frac{11}{24}\)

Alternative:

\(\displaystyle (\frac21 + \frac 34)(\frac16) = (\frac21)(\frac16) + (\frac34)(\frac16) = (\frac44)(\frac21)(\frac16) + \frac{3}{24} = \frac{8}{24} + \frac{3}{24} = \frac{11}{24}\)