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5 votes
5 votes
Divide negative 3 and one-sixth ÷ negative 8 and two-fifths.

252 over 95
95 over 252
51 over 30
30 over 51

User Dmitriano
by
2.9k points

1 Answer

8 votes
8 votes

Answer:

(b) 95/252

Explanation:

You want the quotient of (-3 1/6) and (-8 2/5).

Sign

Here, the dividend and divisor have the same sign, so the quotient will be positive.

Quotient

It is convenient to perform multiplication or division of mixed numbers by first converting them to improper fractions.

3 1/6 = 19/6

8 2/5 = 42/5

When dividing by a fraction it usually works well to multiply by its inverse:

(3 1/6) ÷ (8 2/5) = (19/6) ÷ (42/5) = (19/6) × (5/42

= (19·5)/(6·42) = 95/252 . . . . matches choice B

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Divide negative 3 and one-sixth ÷ negative 8 and two-fifths. 252 over 95 95 over 252 51 over-example-1
User Borut
by
2.7k points