Basic Math Examples

Simplify 2 1/4+2 1/2
214+212214+212
Step 1
Convert 214214 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
2+14+2122+14+212
Step 1.2
Add 22 and 1414.
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Step 1.2.1
To write 22 as a fraction with a common denominator, multiply by 4444.
244+14+212244+14+212
Step 1.2.2
Combine 22 and 4444.
244+14+212244+14+212
Step 1.2.3
Combine the numerators over the common denominator.
24+14+21224+14+212
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 22 by 44.
8+14+2128+14+212
Step 1.2.4.2
Add 88 and 11.
94+21294+212
94+21294+212
94+21294+212
94+21294+212
Step 2
Convert 212212 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
94+2+1294+2+12
Step 2.2
Add 22 and 1212.
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Step 2.2.1
To write 22 as a fraction with a common denominator, multiply by 2222.
94+222+1294+222+12
Step 2.2.2
Combine 22 and 2222.
94+222+1294+222+12
Step 2.2.3
Combine the numerators over the common denominator.
94+22+1294+22+12
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 22 by 22.
94+4+1294+4+12
Step 2.2.4.2
Add 44 and 11.
94+5294+52
94+5294+52
94+5294+52
94+5294+52
Step 3
To write 5252 as a fraction with a common denominator, multiply by 2222.
94+522294+5222
Step 4
Write each expression with a common denominator of 44, by multiplying each by an appropriate factor of 11.
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Step 4.1
Multiply 5252 by 2222.
94+522294+5222
Step 4.2
Multiply 22 by 22.
94+52494+524
94+52494+524
Step 5
Combine the numerators over the common denominator.
9+5249+524
Step 6
Simplify the numerator.
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Step 6.1
Multiply 55 by 22.
9+1049+104
Step 6.2
Add 99 and 1010.
194194
194194
Step 7
The result can be shown in multiple forms.
Exact Form:
194194
Decimal Form:
4.754.75
Mixed Number Form:
434434
 [x2  12  π  xdx ]  x2  12  π  xdx