# Multiply 3 4/5*6 7/8 345⋅678
Convert 345 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(3+45)⋅678
To write 3 as a fraction with a common denominator, multiply by 55.
(3⋅55+45)⋅678
Combine 3 and 55.
(3⋅55+45)⋅678
Combine the numerators over the common denominator.
3⋅5+45⋅678
Simplify the numerator.
Multiply 3 by 5.
15+45⋅678
195⋅678
195⋅678
195⋅678
195⋅678
Convert 678 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
195⋅(6+78)
To write 6 as a fraction with a common denominator, multiply by 88.
195⋅(6⋅88+78)
Combine 6 and 88.
195⋅(6⋅88+78)
Combine the numerators over the common denominator.
195⋅6⋅8+78
Simplify the numerator.
Multiply 6 by 8.
195⋅48+78
195⋅558
195⋅558
195⋅558
195⋅558
Cancel the common factor of 5.
Factor 5 out of 55.
195⋅5(11)8
Cancel the common factor.
195⋅5⋅118
Rewrite the expression.
19⋅118
19⋅118
Combine 19 and 118.
19⋅118
Multiply 19 by 11.
2098
The result can be shown in multiple forms.
Exact Form:
2098
Decimal Form:
26.125
Mixed Number Form:
2618
Multiply 3 4/5*6 7/8

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