a rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 what is the number.Please answer this question faster .
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Let the number be x.
So, According to question when we multiply it by 5/2 and add 2/3 to product , we get -7/12→
5x/2 + 2/3 = -7/12
or, (15x+4)/6 = -7/12
or, 15x + 4 = -7/12 × 6
or, 15x = -7/2 - 4
or, 15x = (-7-8)/2
or, 15x = -15/2
or, x = -15/2/15
or, x = -15/30
or, x = -1/2
Answer→ The number is -1/2.
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So, According to question when we multiply it by 5/2 and add 2/3 to product , we get -7/12→
5x/2 + 2/3 = -7/12
or, (15x+4)/6 = -7/12
or, 15x + 4 = -7/12 × 6
or, 15x = -7/2 - 4
or, 15x = (-7-8)/2
or, 15x = -15/2
or, x = -15/2/15
or, x = -15/30
or, x = -1/2
Answer→ The number is -1/2.
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