# Evaluate 1/6+3 2/5+2 1/10

16+325+2110
Convert 325 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
16+3+25+2110
To write 3 as a fraction with a common denominator, multiply by 55.
16+3⋅55+25+2110
Combine 3 and 55.
16+3⋅55+25+2110
Combine the numerators over the common denominator.
16+3⋅5+25+2110
Simplify the numerator.
Multiply 3 by 5.
16+15+25+2110
16+175+2110
16+175+2110
16+175+2110
16+175+2110
Convert 2110 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
16+175+2+110
To write 2 as a fraction with a common denominator, multiply by 1010.
16+175+2⋅1010+110
Combine 2 and 1010.
16+175+2⋅1010+110
Combine the numerators over the common denominator.
16+175+2⋅10+110
Simplify the numerator.
Multiply 2 by 10.
16+175+20+110
16+175+2110
16+175+2110
16+175+2110
16+175+2110
Find the common denominator.
Multiply 16 by 55.
16⋅55+175+2110
Combine.
1⋅56⋅5+175+2110
Multiply 175 by 66.
1⋅56⋅5+175⋅66+2110
Combine.
1⋅56⋅5+17⋅65⋅6+2110
Multiply 2110 by 33.
1⋅56⋅5+17⋅65⋅6+2110⋅33
Combine.
1⋅56⋅5+17⋅65⋅6+21⋅310⋅3
Reorder the factors of 6⋅5.
1⋅55⋅6+17⋅65⋅6+21⋅310⋅3
Multiply 5 by 6.
1⋅530+17⋅65⋅6+21⋅310⋅3
Multiply 5 by 6.
1⋅530+17⋅630+21⋅310⋅3
Reorder the factors of 10⋅3.
1⋅530+17⋅630+21⋅33⋅10
Multiply 3 by 10.
1⋅530+17⋅630+21⋅330
1⋅530+17⋅630+21⋅330
Combine fractions.
Combine fractions with similar denominators.
1⋅5+17⋅6+21⋅330
Multiply.
Multiply 5 by 1.
5+17⋅6+21⋅330
Multiply 17 by 6.
5+102+21⋅330
Multiply 21 by 3.
5+102+6330
5+102+6330
5+102+6330
Simplify the numerator.
107+6330
17030
17030
Cancel the common factor of 170 and 30.
Factor 10 out of 170.
10(17)30
Cancel the common factors.
Factor 10 out of 30.
10⋅1710⋅3
Cancel the common factor.
10⋅1710⋅3
Rewrite the expression.
173
173
173
The result can be shown in multiple forms.
Exact Form:
173
Decimal Form:
5.6‾
Mixed Number Form:
523
Evaluate 1/6+3 2/5+2 1/10

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