Divide the fractions ( − 10 9 ) ÷ ( − 8 7 ) \left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right) ( − 9 10 ) ÷ ( − 7 8 ) and write the result in simplest form.A) 35 36 \frac { 35 } { 36 } 36 35 B) 1C) -1D) - 35 36 \frac { 35 } { 36 } 36 35 E) − 143 72 - \frac { 143 } { 72 } − 72 143

Question

Divide the fractions   ( − 10 9 )  ÷ ( − 8 7 )  \left( - \frac { 10 } { 9 } \right)  \div \left( - \frac { 8 } { 7 } \right)  ( − 9 10 ​ )  ÷ ( − 7 8 ​ )    and write the result in simplest form.A)    35 36 \frac { 35 } { 36 } 36 35 ​ B)  1C)  -1D)  -  35 36 \frac { 35 } { 36 } 36 35 ​ E)    − 143 72 - \frac { 143 } { 72 } − 72 143 ​

Dyteria Collins · Accepted Answer

Final Answer : A, Explanation :   To divide fractions, you multiply the first fraction by the reciprocal of the second. Here,   ( − 10 9 ) ÷ ( − 8 7 ) = ( − 10 9 ) × ( − 7 8 ) = 70 72 = 35 36 \left( - \frac { 10 } { 9 } ight) \div \left( - \frac { 8 } { 7 } ight) = \left( - \frac { 10 } { 9 } ight) 	imes \left( - \frac { 7 } { 8 } ight) = \frac { 70 } { 72 } = \frac { 35 } { 36 } ( − 9 10 ​ ) ÷ ( − 7 8 ​ ) = ( − 9 10 ​ ) × ( − 8 7 ​ ) = 72 70 ​ = 36 35 ​  .

Divide the fractions $\left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right)$ and write the result in simplest form.

A) $3536\frac { 35 } { 36 }$
B) 1
C) -1
D) - $3536\frac { 35 } { 36 }$
E) $\frac { 143 } { 72 }$

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