# Combine 4 2/3*6 1/4

423⋅614
Convert 423 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(4+23)⋅614
To write 4 as a fraction with a common denominator, multiply by 33.
(4⋅33+23)⋅614
Combine 4 and 33.
(4⋅33+23)⋅614
Combine the numerators over the common denominator.
4⋅3+23⋅614
Simplify the numerator.
Multiply 4 by 3.
12+23⋅614
143⋅614
143⋅614
143⋅614
143⋅614
Convert 614 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
143⋅(6+14)
To write 6 as a fraction with a common denominator, multiply by 44.
143⋅(6⋅44+14)
Combine 6 and 44.
143⋅(6⋅44+14)
Combine the numerators over the common denominator.
143⋅6⋅4+14
Simplify the numerator.
Multiply 6 by 4.
143⋅24+14
143⋅254
143⋅254
143⋅254
143⋅254
Cancel the common factor of 2.
Factor 2 out of 14.
2(7)3⋅254
Factor 2 out of 4.
2⋅73⋅252⋅2
Cancel the common factor.
2⋅73⋅252⋅2
Rewrite the expression.
73⋅252
73⋅252
Multiply 73 and 252.
7⋅253⋅2
Multiply.
Multiply 7 by 25.
1753⋅2
Multiply 3 by 2.
1756
1756
Combine 4 2/3*6 1/4

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