Factor 2 1/5*3+4*2 1/4

Math
215⋅3+4⋅214
Convert 215 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
(2+15)⋅3+4⋅214
Add 2 and 15.
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To write 2 as a fraction with a common denominator, multiply by 55.
(2⋅55+15)⋅3+4⋅214
Combine 2 and 55.
(2⋅55+15)⋅3+4⋅214
Combine the numerators over the common denominator.
2⋅5+15⋅3+4⋅214
Simplify the numerator.
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Multiply 2 by 5.
10+15⋅3+4⋅214
Add 10 and 1.
115⋅3+4⋅214
115⋅3+4⋅214
115⋅3+4⋅214
115⋅3+4⋅214
Multiply 115⋅3.
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Combine 115 and 3.
11⋅35+4⋅214
Multiply 11 by 3.
335+4⋅214
335+4⋅214
Convert 214 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
335+4⋅(2+14)
Add 2 and 14.
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To write 2 as a fraction with a common denominator, multiply by 44.
335+4⋅(2⋅44+14)
Combine 2 and 44.
335+4⋅(2⋅44+14)
Combine the numerators over the common denominator.
335+4⋅2⋅4+14
Simplify the numerator.
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Multiply 2 by 4.
335+4⋅8+14
Add 8 and 1.
335+4⋅94
335+4⋅94
335+4⋅94
335+4⋅94
Cancel the common factor of 4.
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Cancel the common factor.
335+4⋅94
Rewrite the expression.
335+9
335+9
To write 9 as a fraction with a common denominator, multiply by 55.
335+9⋅55
Combine 9 and 55.
335+9⋅55
Combine the numerators over the common denominator.
33+9⋅55
Simplify the numerator.
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Multiply 9 by 5.
33+455
Add 33 and 45.
785
785
Factor 2 1/5*3+4*2 1/4

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