Basic Math Examples

Evaluate 2 1/3-1 5/6
213-156213156
Step 1
Convert 213213 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
2+13-1562+13156
Step 1.2
Add 22 and 1313.
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Step 1.2.1
To write 22 as a fraction with a common denominator, multiply by 3333.
233+13-156233+13156
Step 1.2.2
Combine 22 and 3333.
233+13-156233+13156
Step 1.2.3
Combine the numerators over the common denominator.
23+13-15623+13156
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 22 by 33.
6+13-1566+13156
Step 1.2.4.2
Add 66 and 11.
73-15673156
73-15673156
73-15673156
73-15673156
Step 2
Convert 156156 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
73-(1+56)73(1+56)
Step 2.2
Add 11 and 5656.
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Step 2.2.1
Write 11 as a fraction with a common denominator.
73-(66+56)73(66+56)
Step 2.2.2
Combine the numerators over the common denominator.
73-6+56736+56
Step 2.2.3
Add 66 and 55.
73-11673116
73-11673116
73-11673116
Step 3
To write 7373 as a fraction with a common denominator, multiply by 2222.
7322-1167322116
Step 4
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
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Step 4.1
Multiply 7373 by 2222.
7232-1167232116
Step 4.2
Multiply 33 by 22.
726-116726116
726-116726116
Step 5
Combine the numerators over the common denominator.
72-11672116
Step 6
Simplify the numerator.
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Step 6.1
Multiply 77 by 22.
14-11614116
Step 6.2
Subtract 1111 from 1414.
3636
3636
Step 7
Cancel the common factor of 33 and 66.
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Step 7.1
Factor 33 out of 33.
3(1)63(1)6
Step 7.2
Cancel the common factors.
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Step 7.2.1
Factor 33 out of 66.
31323132
Step 7.2.2
Cancel the common factor.
3132
Step 7.2.3
Rewrite the expression.
12
12
12
Step 8
The result can be shown in multiple forms.
Exact Form:
12
Decimal Form:
0.5
 [x2  12  π  xdx ]