Dividing Fractions — Quiz

Question 7 • Grade 7 Mathematics

Which explains how to find the quotient of the given division? the fraction with numerator negative 3 and 1 third and denominator 4 ninths

Answer

Write negative 3 and 1 third as negative 9 thirds . Then, rewrite the fraction with numerator negative 3 and 1 third and denominator 4 ninths as negative 9 thirds times 4 ninths . The quotient is negative 1 and 1 third .

Write negative 3 and 1 third as negative 13 thirds , and find the reciprocal of 4 ninths as 9 fourths . Then, rewrite the fraction with numerator negative 3 and 1 third and denominator 4 ninths as negative 13 thirds times 9 fourths . The quotient is negative 9 and 3 fourths .

Write negative 3 and 1 third as negative 10 thirds . Then, rewrite the fraction with numerator negative 3 and 1 third and denominator 4 ninths as negative 10 thirds times 4 ninths . The quotient is negative 1 and 13 over 27 is equal to negative 1 and 13 over 27 .

Write negative 3 and 1 third as negative 10 thirds , and find the reciprocal of 4 ninths as 9 fourths . Then, rewrite the fraction with numerator negative 3 and 1 third and denominator 4 ninths as negative 10 thirds times 9 fourths . The quotient is negative 7 and 6 over 12 is equal to negative 7 and 1 half .

Explanation

Convert the mixed number −3 1/3 to an improper fraction: −10/3. Dividing by 4/9 means multiplying by its reciprocal, 9/4, so (−10/3) × (9/4) = −90/12 = −15/2 = −7 1/2. Therefore, choice D correctly describes the steps and quotient.

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