What is the quotient of -7 divided by 14/3?

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Answer 1 · 2015-09-15T18:13:23

$color(red)((-7)/(14/3) = -3/2)$

$(-7)/(14/3) = "?"$

Step 1. Multiply the numerator by the reciprocal of the denominator.

$(-7)/(14/3) = -7 × 3/14 = -(7×3)/14$

Step 2. Simplify the fraction.

Divide both top and bottom by the highest common factor ( $7$ ).

$-(7×3)/14 = -(1×3)/2 = -3/2$

∴ $(-7)/(14/3) = -3/2$