Evaluate 11 1/4-3 4/5

Math
1114-345
Convert 1114 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
11+14-345
Add 11 and 14.
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To write 11 as a fraction with a common denominator, multiply by 44.
11⋅44+14-345
Combine 11 and 44.
11⋅44+14-345
Combine the numerators over the common denominator.
11⋅4+14-345
Simplify the numerator.
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Multiply 11 by 4.
44+14-345
Add 44 and 1.
454-345
454-345
454-345
454-345
Convert 345 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
454-(3+45)
Add 3 and 45.
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To write 3 as a fraction with a common denominator, multiply by 55.
454-(3⋅55+45)
Combine 3 and 55.
454-(3⋅55+45)
Combine the numerators over the common denominator.
454-3⋅5+45
Simplify the numerator.
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Multiply 3 by 5.
454-15+45
Add 15 and 4.
454-195
454-195
454-195
454-195
To write 454 as a fraction with a common denominator, multiply by 55.
454⋅55-195
To write -195 as a fraction with a common denominator, multiply by 44.
454⋅55-195⋅44
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 454 and 55.
45⋅54⋅5-195⋅44
Multiply 4 by 5.
45⋅520-195⋅44
Multiply 195 and 44.
45⋅520-19⋅45⋅4
Multiply 5 by 4.
45⋅520-19⋅420
45⋅520-19⋅420
Combine the numerators over the common denominator.
45⋅5-19⋅420
Simplify the numerator.
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Multiply 45 by 5.
225-19⋅420
Multiply -19 by 4.
225-7620
Subtract 76 from 225.
14920
14920
The result can be shown in multiple forms.
Exact Form:
14920
Decimal Form:
7.45
Mixed Number Form:
7920
Evaluate 11 1/4-3 4/5

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