Basic Math Examples

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Basic Math
Simplify -2.6-4.6÷(0.6-5.4*-5.5)+4.1
-2.6-4.6÷(0.6-5.4⋅-5.5)+4.1−2.6−4.6÷(0.6−5.4⋅−5.5)+4.1
Step 1
Find the common denominator.
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Step 1.1
Write -2.6−2.6 as a fraction with denominator 11.
-2.61-4.6÷(0.6-5.4⋅-5.5)+4.1−2.61−4.6÷(0.6−5.4⋅−5.5)+4.1
Step 1.2
Multiply -2.61−2.61 by 0.6-5.4⋅-5.50.6-5.4⋅-5.50.6−5.4⋅−5.50.6−5.4⋅−5.5.
-2.61⋅0.6-5.4⋅-5.50.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.1−2.61⋅0.6−5.4⋅−5.50.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.1
Step 1.3
Multiply -2.61−2.61 by 0.6-5.4⋅-5.50.6-5.4⋅-5.50.6−5.4⋅−5.50.6−5.4⋅−5.5.
-2.6(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.1−2.6(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.1
Step 1.4
Write 4.14.1 as a fraction with denominator 11.
-2.6(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.11−2.6(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.11
Step 1.5
Multiply 4.114.11 by 0.6-5.4⋅-5.50.6-5.4⋅-5.50.6−5.4⋅−5.50.6−5.4⋅−5.5.
-2.6(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.11⋅0.6-5.4⋅-5.50.6-5.4⋅-5.5−2.6(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.11⋅0.6−5.4⋅−5.50.6−5.4⋅−5.5
Step 1.6
Multiply 4.114.11 by 0.6-5.4⋅-5.50.6-5.4⋅-5.50.6−5.4⋅−5.50.6−5.4⋅−5.5.
-2.6(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.1(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5−2.6(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.1(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5
-2.6(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5-4.6÷(0.6-5.4⋅-5.5)+4.1(0.6-5.4⋅-5.5)0.6-5.4⋅-5.5−2.6(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5−4.6÷(0.6−5.4⋅−5.5)+4.1(0.6−5.4⋅−5.5)0.6−5.4⋅−5.5
Step 2
Simplify terms.
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Step 2.1
Combine the numerators over the common denominator.
-2.6(0.6-5.4⋅-5.5)-4.6+4.1(0.6-5.4⋅-5.5)0.6-5.5⋅-5.4−2.6(0.6−5.4⋅−5.5)−4.6+4.1(0.6−5.4⋅−5.5)0.6−5.5⋅−5.4
Step 2.2
Simplify each term.
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Step 2.2.1
Multiply -5.4−5.4 by -5.5−5.5.
-2.6(0.6+29.7)-4.6+4.1(0.6-5.4⋅-5.5)0.6-5.5⋅-5.4−2.6(0.6+29.7)−4.6+4.1(0.6−5.4⋅−5.5)0.6−5.5⋅−5.4
Step 2.2.2
Add 0.60.6 and 29.729.7.
-2.6⋅30.3-4.6+4.1(0.6-5.4⋅-5.5)0.6-5.5⋅-5.4−2.6⋅30.3−4.6+4.1(0.6−5.4⋅−5.5)0.6−5.5⋅−5.4
Step 2.2.3
Multiply -2.6−2.6 by 30.330.3.
-78.78-4.6+4.1(0.6-5.4⋅-5.5)0.6-5.5⋅-5.4−78.78−4.6+4.1(0.6−5.4⋅−5.5)0.6−5.5⋅−5.4
Step 2.2.4
Multiply -5.4−5.4 by -5.5−5.5.
-78.78-4.6+4.1(0.6+29.7)0.6-5.5⋅-5.4−78.78−4.6+4.1(0.6+29.7)0.6−5.5⋅−5.4
Step 2.2.5
Add 0.60.6 and 29.729.7.
-78.78-4.6+4.1⋅30.30.6-5.5⋅-5.4−78.78−4.6+4.1⋅30.30.6−5.5⋅−5.4
Step 2.2.6
Multiply 4.14.1 by 30.330.3.
-78.78-4.6+124.230.6-5.5⋅-5.4−78.78−4.6+124.230.6−5.5⋅−5.4
-78.78-4.6+124.230.6-5.5⋅-5.4−78.78−4.6+124.230.6−5.5⋅−5.4
Step 2.3
Simplify by adding and subtracting.
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Step 2.3.1
Subtract 4.64.6 from -78.78−78.78.
-83.38+124.230.6-5.5⋅-5.4−83.38+124.230.6−5.5⋅−5.4
Step 2.3.2
Add -83.38−83.38 and 124.23124.23.
40.850.6-5.5⋅-5.440.850.6−5.5⋅−5.4
40.850.6-5.5⋅-5.440.850.6−5.5⋅−5.4
40.850.6-5.5⋅-5.440.850.6−5.5⋅−5.4
Step 3
Simplify the denominator.
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Step 3.1
Multiply -5.5−5.5 by -5.4−5.4.
40.850.6+29.740.850.6+29.7
Step 3.2
Add 0.60.6 and 29.729.7.
40.8530.340.8530.3
40.8530.340.8530.3
Step 4
Divide 40.8540.85 by 30.330.3.
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