Question

4/9 divided by what equals -8/15

Answer 1

Answer:

$\frac{x}{y} =\frac{5}{-6} or \frac{-5}{6}$

Step-by-step explanation:

Let the no be x/y

so 4/9/x/y=-8/15

4/9*y/x=-8/15

4y/9x=-8/15=-24/45

4y=-24 so y=-6

9x=45 so x=5

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Answer 2

Answer:

4/9 divided by -5/6 equals -8/15.

Concept:

Multiplication and division of fractions.

To multiply any two fractions, we have to multiply the numerators of two fractions and the denominators and just do simplification.

To divide any two fractions, we have to multiply first fraction with the reciprocal of second fraction.

Find:

The fraction which divides 4/9 and gives -8/15.

Solution:

Let the fraction which divides 4/9 be 'f'.

According to the question,

4/9 ÷ f = -8/15

f = 4/9 ÷ -8/15

f = (4/9) × (-15/8)

f = -(4×15)/(9×8)

f = -(5)/(3×2)

f = -5/6

The fraction which divides 4/9 to give -8/15 is f = -5/6

Hence, 4/9 divided by -5/6 equals -8/15.

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