Simplify 6 1/10-2 4/5+3 3/4

Math
6110-245+334
Convert 6110 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
6+110-245+334
Add 6 and 110.
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To write 6 as a fraction with a common denominator, multiply by 1010.
6⋅1010+110-245+334
Combine 6 and 1010.
6⋅1010+110-245+334
Combine the numerators over the common denominator.
6⋅10+110-245+334
Simplify the numerator.
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Multiply 6 by 10.
60+110-245+334
Add 60 and 1.
6110-245+334
6110-245+334
6110-245+334
6110-245+334
Convert 245 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
6110-(2+45)+334
Add 2 and 45.
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To write 2 as a fraction with a common denominator, multiply by 55.
6110-(2⋅55+45)+334
Combine 2 and 55.
6110-(2⋅55+45)+334
Combine the numerators over the common denominator.
6110-2⋅5+45+334
Simplify the numerator.
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Multiply 2 by 5.
6110-10+45+334
Add 10 and 4.
6110-145+334
6110-145+334
6110-145+334
6110-145+334
Convert 334 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
6110-145+3+34
Add 3 and 34.
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To write 3 as a fraction with a common denominator, multiply by 44.
6110-145+3⋅44+34
Combine 3 and 44.
6110-145+3⋅44+34
Combine the numerators over the common denominator.
6110-145+3⋅4+34
Simplify the numerator.
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Multiply 3 by 4.
6110-145+12+34
Add 12 and 3.
6110-145+154
6110-145+154
6110-145+154
6110-145+154
To write -145 as a fraction with a common denominator, multiply by 22.
6110-145⋅22+154
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 145 and 22.
6110-14⋅25⋅2+154
Multiply 5 by 2.
6110-14⋅210+154
6110-14⋅210+154
Combine the numerators over the common denominator.
61-14⋅210+154
Simplify the numerator.
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Multiply -14 by 2.
61-2810+154
Subtract 28 from 61.
3310+154
3310+154
To write 3310 as a fraction with a common denominator, multiply by 22.
3310⋅22+154
To write 154 as a fraction with a common denominator, multiply by 55.
3310⋅22+154⋅55
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 3310 and 22.
33⋅210⋅2+154⋅55
Multiply 10 by 2.
33⋅220+154⋅55
Multiply 154 and 55.
33⋅220+15⋅54⋅5
Multiply 4 by 5.
33⋅220+15⋅520
33⋅220+15⋅520
Combine the numerators over the common denominator.
33⋅2+15⋅520
Simplify the numerator.
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Multiply 33 by 2.
66+15⋅520
Multiply 15 by 5.
66+7520
Add 66 and 75.
14120
14120
The result can be shown in multiple forms.
Exact Form:
14120
Decimal Form:
7.05
Mixed Number Form:
7120
Simplify 6 1/10-2 4/5+3 3/4

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