Question

If the product of two rational numbers is -9/16 and one of them is -4/15 find the another number.​

Answer 1

Answer:

$one \: number \: = a = \frac{ - 4}{15} \\ other \: number \: = b = x \\ product \: of \: two \: = ab = \frac{ - 4x}{15} = \frac{ - 9}{16} \\ cross \: multliplication \: \\ - 4x \times 16 = 15 \times - 9 \\ x = \frac{15 \times - 9 }{16 \times - 4} \\ x = \frac{15 \times 9}{16 \times 4} \\ x = \frac{135}{64}$

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