Evaluate 2/5+1/3+1/4-5/12

25+13+14-512
To write 25 as a fraction with a common denominator, multiply by 33.
25⋅33+13+14-512
To write 13 as a fraction with a common denominator, multiply by 55.
25⋅33+13⋅55+14-512
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 25 and 33.
2⋅35⋅3+13⋅55+14-512
Multiply 5 by 3.
2⋅315+13⋅55+14-512
Multiply 13 and 55.
2⋅315+53⋅5+14-512
Multiply 3 by 5.
2⋅315+515+14-512
2⋅315+515+14-512
Combine the numerators over the common denominator.
2⋅3+515+14-512
Simplify the numerator.
Multiply 2 by 3.
6+515+14-512
1115+14-512
1115+14-512
To write 1115 as a fraction with a common denominator, multiply by 44.
1115⋅44+14-512
To write 14 as a fraction with a common denominator, multiply by 1515.
1115⋅44+14⋅1515-512
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
Multiply 1115 and 44.
11⋅415⋅4+14⋅1515-512
Multiply 15 by 4.
11⋅460+14⋅1515-512
Multiply 14 and 1515.
11⋅460+154⋅15-512
Multiply 4 by 15.
11⋅460+1560-512
11⋅460+1560-512
Combine the numerators over the common denominator.
11⋅4+1560-512
Simplify the numerator.
Multiply 11 by 4.
44+1560-512
5960-512
5960-512
To write -512 as a fraction with a common denominator, multiply by 55.
5960-512⋅55
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
Multiply 512 and 55.
5960-5⋅512⋅5
Multiply 12 by 5.
5960-5⋅560
5960-5⋅560
Combine the numerators over the common denominator.
59-5⋅560
Simplify the numerator.
Multiply -5 by 5.
59-2560
Subtract 25 from 59.
3460
3460
Cancel the common factor of 34 and 60.
Factor 2 out of 34.
2(17)60
Cancel the common factors.
Factor 2 out of 60.
2⋅172⋅30
Cancel the common factor.
2⋅172⋅30
Rewrite the expression.
1730
1730
1730
The result can be shown in multiple forms.
Exact Form:
1730
Decimal Form:
0.56‾
Evaluate 2/5+1/3+1/4-5/12

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