Basic Math Examples

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Basic Math
Evaluate -2/3-4/5
-23-45−23−45
Step 1
To write -23−23 as a fraction with a common denominator, multiply by 5555.
-23⋅55-45−23⋅55−45
Step 2
To write -45−45 as a fraction with a common denominator, multiply by 3333.
-23⋅55-45⋅33−23⋅55−45⋅33
Step 3
Write each expression with a common denominator of 1515, by multiplying each by an appropriate factor of 11.
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Step 3.1
Multiply 2323 by 5555.
-2⋅53⋅5-45⋅33−2⋅53⋅5−45⋅33
Step 3.2
Multiply 33 by 55.
-2⋅515-45⋅33−2⋅515−45⋅33
Step 3.3
Multiply 4545 by 3333.
-2⋅515-4⋅35⋅3−2⋅515−4⋅35⋅3
Step 3.4
Multiply 55 by 33.
-2⋅515-4⋅315−2⋅515−4⋅315
-2⋅515-4⋅315−2⋅515−4⋅315
Step 4
Combine the numerators over the common denominator.
-2⋅5-4⋅315−2⋅5−4⋅315
Step 5
Simplify the numerator.
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Step 5.1
Multiply -2−2 by 55.
-10-4⋅315−10−4⋅315
Step 5.2
Multiply -4−4 by 33.
-10-1215−10−1215
Step 5.3
Subtract 1212 from -10−10.
-2215−2215
-2215−2215
Step 6
Move the negative in front of the fraction.
-2215−2215
Step 7
The result can be shown in multiple forms.
Exact Form:
-2215−2215
Decimal Form:
-1.4‾6−1.4¯6
Mixed Number Form:
-1715−1715
 [x2  12  √π  ∫xdx ]  ⎡⎢⎣x2  12  √π  ∫xdx ⎤⎥⎦