Basic Math Examples

Evaluate ((16.5)^2)/4+((15)^2)/3+((5.5)^2)/3-((16.5+15+15.5)^2)/10
(16.5)24+(15)23+(5.5)23-(16.5+15+15.5)210(16.5)24+(15)23+(5.5)23(16.5+15+15.5)210
Step 1
Combine the numerators over the common denominator.
(16.5)24+(15)2+(5.5)23+-(16.5+15+15.5)210(16.5)24+(15)2+(5.5)23+(16.5+15+15.5)210
Step 2
Simplify each term.
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Step 2.1
Raise 1515 to the power of 22.
(16.5)24+225+(5.5)23+-(16.5+15+15.5)210(16.5)24+225+(5.5)23+(16.5+15+15.5)210
Step 2.2
Raise 5.55.5 to the power of 22.
(16.5)24+225+30.253+-(16.5+15+15.5)210(16.5)24+225+30.253+(16.5+15+15.5)210
(16.5)24+225+30.253+-(16.5+15+15.5)210(16.5)24+225+30.253+(16.5+15+15.5)210
Step 3
Simplify by adding numbers.
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Step 3.1
Add 225225 and 30.2530.25.
(16.5)24+255.253+-(16.5+15+15.5)210(16.5)24+255.253+(16.5+15+15.5)210
Step 3.2
Add 16.516.5 and 1515.
(16.5)24+255.253+-(31.5+15.5)210(16.5)24+255.253+(31.5+15.5)210
Step 3.3
Add 31.531.5 and 15.515.5.
(16.5)24+255.253+-47210(16.5)24+255.253+47210
(16.5)24+255.253+-47210(16.5)24+255.253+47210
Step 4
Find the common denominator.
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Step 4.1
Multiply (16.5)24(16.5)24 by 15151515.
(16.5)241515+255.253+-47210(16.5)241515+255.253+47210
Step 4.2
Multiply (16.5)24(16.5)24 by 15151515.
(16.5)215415+255.253+-47210(16.5)215415+255.253+47210
Step 4.3
Multiply 255.253255.253 by 20202020.
(16.5)215415+255.2532020+-47210(16.5)215415+255.2532020+47210
Step 4.4
Multiply 255.253 by 2020.
(16.5)215415+255.2520320+-47210
Step 4.5
Multiply -47210 by 66.
(16.5)215415+255.2520320+-4721066
Step 4.6
Multiply -47210 by 66.
(16.5)215415+255.2520320+-4726106
Step 4.7
Multiply 4 by 15.
(16.5)21560+255.2520320+-4726106
Step 4.8
Multiply 3 by 20.
(16.5)21560+255.252060+-4726106
Step 4.9
Reorder the factors of 106.
(16.5)21560+255.252060+-4726610
Step 4.10
Multiply 6 by 10.
(16.5)21560+255.252060+-472660
(16.5)21560+255.252060+-472660
Step 5
Combine the numerators over the common denominator.
(16.5)215+255.2520-472660
Step 6
Simplify each term.
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Step 6.1
Raise 16.5 to the power of 2.
272.2515+255.2520-472660
Step 6.2
Multiply 272.25 by 15.
4083.75+255.2520-472660
Step 6.3
Multiply 255.25 by 20.
4083.75+5105-472660
Step 6.4
Raise 47 to the power of 2.
4083.75+5105-12209660
Step 6.5
Multiply -122096.
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Step 6.5.1
Multiply -1 by 2209.
4083.75+5105-2209660
Step 6.5.2
Multiply -2209 by 6.
4083.75+5105-1325460
4083.75+5105-1325460
4083.75+5105-1325460
Step 7
Simplify the expression.
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Step 7.1
Add 4083.75 and 5105.
9188.75-1325460
Step 7.2
Subtract 13254 from 9188.75.
-4065.2560
Step 7.3
Divide -4065.25 by 60.
-67.75416
-67.75416
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