what is 2 divide by 1 5/7 equal

$$2 / 1\frac{5}{7}$$

 

First: Turn the mixed numbers into an improper fraction, use this formula (can you see why it's true?):

 

$$a\frac{b}{c}=\frac{ac + b}{c}$$

 

We get:

 

$$1\frac{5}{7}= \frac{1*7+5}{7}=\frac{12}{7}$$

 

To divide a number by a fraction is the same as to muliply the number by the multiplicative inverse of the fraction:

 

$$a/\frac{b}{c}= a*\frac{c}{b}$$

 

We get:

 

$$2 / \frac{12}{7}=2*\frac{7}{12}=\frac{14}{12}=\frac{7}{6}$$

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