Basic Math Examples

Evaluate 7 5/12-2 3/4
7512-2347512234
Step 1
Convert 75127512 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
7+512-2347+512234
Step 1.2
Add 77 and 512512.
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Step 1.2.1
To write 77 as a fraction with a common denominator, multiply by 12121212.
71212+512-23471212+512234
Step 1.2.2
Combine 77 and 12121212.
71212+512-23471212+512234
Step 1.2.3
Combine the numerators over the common denominator.
712+512-234712+512234
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 77 by 1212.
84+512-23484+512234
Step 1.2.4.2
Add 8484 and 55.
8912-2348912234
8912-2348912234
8912-2348912234
8912-2348912234
Step 2
Convert 234234 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
8912-(2+34)8912(2+34)
Step 2.2
Add 2 and 34.
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Step 2.2.1
To write 2 as a fraction with a common denominator, multiply by 44.
8912-(244+34)
Step 2.2.2
Combine 2 and 44.
8912-(244+34)
Step 2.2.3
Combine the numerators over the common denominator.
8912-24+34
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 2 by 4.
8912-8+34
Step 2.2.4.2
Add 8 and 3.
8912-114
8912-114
8912-114
8912-114
Step 3
To write -114 as a fraction with a common denominator, multiply by 33.
8912-11433
Step 4
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Step 4.1
Multiply 114 by 33.
8912-11343
Step 4.2
Multiply 4 by 3.
8912-11312
8912-11312
Step 5
Combine the numerators over the common denominator.
89-11312
Step 6
Simplify the numerator.
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Step 6.1
Multiply -11 by 3.
89-3312
Step 6.2
Subtract 33 from 89.
5612
5612
Step 7
Cancel the common factor of 56 and 12.
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Step 7.1
Factor 4 out of 56.
4(14)12
Step 7.2
Cancel the common factors.
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Step 7.2.1
Factor 4 out of 12.
41443
Step 7.2.2
Cancel the common factor.
41443
Step 7.2.3
Rewrite the expression.
143
143
143
Step 8
The result can be shown in multiple forms.
Exact Form:
143
Decimal Form:
4.6
Mixed Number Form:
423
 [x2  12  π  xdx ]