Basic Math Examples

Simplify 2 1/2÷1 3/4
212÷134212÷134
Step 1
Convert 212212 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
(2+12)÷134(2+12)÷134
Step 1.2
Add 22 and 1212.
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Step 1.2.1
To write 22 as a fraction with a common denominator, multiply by 2222.
(222+12)÷134(222+12)÷134
Step 1.2.2
Combine 22 and 2222.
(222+12)÷134(222+12)÷134
Step 1.2.3
Combine the numerators over the common denominator.
22+12÷13422+12÷134
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 22 by 22.
4+12÷1344+12÷134
Step 1.2.4.2
Add 44 and 11.
52÷13452÷134
52÷13452÷134
52÷13452÷134
52÷13452÷134
Step 2
Convert 134 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
52÷(1+34)
Step 2.2
Add 1 and 34.
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Step 2.2.1
Write 1 as a fraction with a common denominator.
52÷(44+34)
Step 2.2.2
Combine the numerators over the common denominator.
52÷4+34
Step 2.2.3
Add 4 and 3.
52÷74
52÷74
52÷74
Step 3
To divide by a fraction, multiply by its reciprocal.
5247
Step 4
Cancel the common factor of 2.
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Step 4.1
Factor 2 out of 4.
522(2)7
Step 4.2
Cancel the common factor.
52227
Step 4.3
Rewrite the expression.
5(27)
5(27)
Step 5
Combine 5 and 27.
527
Step 6
Multiply 5 by 2.
107
Step 7
The result can be shown in multiple forms.
Exact Form:
107
Decimal Form:
1.428571
Mixed Number Form:
137
 [x2  12  π  xdx ]