Multiply the fractions ( 10 3 ) ( − 3 10 ) \left( \frac { 10 } { 3 } \right) \left( - \frac { 3 } { 10 } \right) ( 3 10 ) ( − 10 3 ) and write the result in simplest form.A) 30B) -30C) 0D) -1E) 1

Question

Multiply the fractions   ( 10 3 )  ( − 3 10 )  \left( \frac { 10 } { 3 } \right)  \left( - \frac { 3 } { 10 } \right)  ( 3 10 ​ )  ( − 10 3 ​ )    and write the result in simplest form.A) 30B) -30C) 0D)  -1E) 1

James Sweeney · Accepted Answer

Final Answer : D, Explanation :   When you multiply the fractions   ( 10 3 ) ( − 3 10 ) \left( \frac { 10 } { 3 } \right) \left( - \frac { 3 } { 10 } \right) ( 3 10 ​ ) ( − 10 3 ​ )  , the 10 in the numerator of the first fraction cancels out with the 10 in the denominator of the second fraction, and the 3 in the denominator of the first fraction cancels out with the 3 in the numerator of the second fraction, leaving you with   ( − 1 ) (-1) ( − 1 )  , which is in its simplest form.

Multiply the fractions $\left( \frac { 10 } { 3 } \right) \left( - \frac { 3 } { 10 } \right)$ and write the result in simplest form.

A) 30
B) -30
C) 0
D) -1
E) 1

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Multiply the fractions (103) (−310) \left( \frac { 10 } { 3 } \right) \left( - \frac { 3 } { 10 } \right) (310​) (−103​) and write the result in simplest form.A) 30B) -30C) 0D) -1E) 1

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Learning Objectives

Learning Objectives

Related questions

Multiply the fractions $\left( \frac { 10 } { 3 } \right) \left( - \frac { 3 } { 10 } \right)$ and write the result in simplest form.

A) 30
B) -30
C) 0
D) -1
E) 1