# Add 5 1/3+9 1/2+13 1/6 513+912+1316
Convert 513 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
5+13+912+1316
Add 5 and 13.
To write 5 as a fraction with a common denominator, multiply by 33.
5⋅33+13+912+1316
Combine 5 and 33.
5⋅33+13+912+1316
Combine the numerators over the common denominator.
5⋅3+13+912+1316
Simplify the numerator.
Multiply 5 by 3.
15+13+912+1316
Add 15 and 1.
163+912+1316
163+912+1316
163+912+1316
163+912+1316
Convert 912 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
163+9+12+1316
Add 9 and 12.
To write 9 as a fraction with a common denominator, multiply by 22.
163+9⋅22+12+1316
Combine 9 and 22.
163+9⋅22+12+1316
Combine the numerators over the common denominator.
163+9⋅2+12+1316
Simplify the numerator.
Multiply 9 by 2.
163+18+12+1316
Add 18 and 1.
163+192+1316
163+192+1316
163+192+1316
163+192+1316
Convert 1316 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
163+192+13+16
Add 13 and 16.
To write 13 as a fraction with a common denominator, multiply by 66.
163+192+13⋅66+16
Combine 13 and 66.
163+192+13⋅66+16
Combine the numerators over the common denominator.
163+192+13⋅6+16
Simplify the numerator.
Multiply 13 by 6.
163+192+78+16
Add 78 and 1.
163+192+796
163+192+796
163+192+796
163+192+796
Find the common denominator.
Multiply 163 by 22.
163⋅22+192+796
Multiply 163 and 22.
16⋅23⋅2+192+796
Multiply 192 by 33.
16⋅23⋅2+192⋅33+796
Multiply 192 and 33.
16⋅23⋅2+19⋅32⋅3+796
Reorder the factors of 3⋅2.
16⋅22⋅3+19⋅32⋅3+796
Multiply 2 by 3.
16⋅26+19⋅32⋅3+796
Multiply 2 by 3.
16⋅26+19⋅36+796
16⋅26+19⋅36+796
Combine the numerators over the common denominator.
16⋅2+19⋅3+796
Simplify each term.
Multiply 16 by 2.
32+19⋅3+796
Multiply 19 by 3.
32+57+796
32+57+796
Simplify the expression.
Add 32 and 57.
89+796
Add 89 and 79.
1686
Divide 168 by 6.
28
28
Add 5 1/3+9 1/2+13 1/6

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