Answer: 2.5
Step-by-step explanation:
[tex]\frac{3\frac{1}{2}-9\frac{3}{4} }{-2.5}[/tex]
Solve the numerator first.
[tex]3\frac{1}{2}-9\frac{3}{4} =9-3(\frac{1}{2}-\frac{3}{4})=6(\frac{1*4-2*3}{2*4})=6(\frac{4-6}{8})=6(\frac{-2}{8})=-6\frac{1}{4}[/tex]
We are left with:[tex]\frac{-6\frac{1}{4} }{-2.5}[/tex]
To be able to work this out, we must convert the fraction to a decimal.
To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.
6+(1/4)
6+(0.25)
6+0.25
6.25
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[tex]\frac{-6.25}{-2.5}[/tex]
Now, we know that this is a positive outcome because we have 2 negatives dividing.
6.25/2.5
To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.
6.25*100/2.5*100
625/250
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Let's solve this.
625/250=2.5
500
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125'0
1250
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