Explain how you can find the missing number in 3 4/5 divide [ ] = 2 5/7 then find the missing number. now please.

Answer is 10 11/35 

Because here you are finding an unknown, so you redo the problem.
The problem tells you to divide so the opposite is times the number
so 2 5/7 times 3 4/5 is 10 11/35 

find the missing number in 3 4/5 divide [ ] = 2 5/7

Let the unknown number be x

\( \frac{3 \frac{4}{5}}{x}=2\frac{5}{7} \)

\( 3\frac{4}{5} \) can be written as \( \frac{19}{5} \)

\( 2\frac{5}{7} \) can be written as \( \frac{19}{7} \)

So equation becomes

\( \frac{\frac{19}{5}}{x}=\frac{19}{7} \)

We need to get x alone, so we multiply by x on both sides

\( \frac{19}{5}=\frac{19}{7} *x \)

Now to remove 9/7 we take reciprocal and multiply it on both sides

\( \frac{19}{5} * \frac{7}{19} =\frac{19}{7}* \frac{7}{19} *x \)

\( \frac{7}{5}=x \)

The missing number is \( \frac{7}{5} \)


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