# Combine 2 5/8+4 5/12+1 17/18

258+4512+11718
Convert 258 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
2+58+4512+11718
To write 2 as a fraction with a common denominator, multiply by 88.
2⋅88+58+4512+11718
Combine 2 and 88.
2⋅88+58+4512+11718
Combine the numerators over the common denominator.
2⋅8+58+4512+11718
Simplify the numerator.
Multiply 2 by 8.
16+58+4512+11718
218+4512+11718
218+4512+11718
218+4512+11718
218+4512+11718
Convert 4512 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
218+4+512+11718
To write 4 as a fraction with a common denominator, multiply by 1212.
218+4⋅1212+512+11718
Combine 4 and 1212.
218+4⋅1212+512+11718
Combine the numerators over the common denominator.
218+4⋅12+512+11718
Simplify the numerator.
Multiply 4 by 12.
218+48+512+11718
218+5312+11718
218+5312+11718
218+5312+11718
218+5312+11718
Convert 11718 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
218+5312+1+1718
Write 1 as a fraction with a common denominator.
218+5312+1818+1718
Combine the numerators over the common denominator.
218+5312+18+1718
218+5312+3518
218+5312+3518
218+5312+3518
Find the common denominator.
Multiply 218 by 99.
218⋅99+5312+3518
Combine.
21⋅98⋅9+5312+3518
Multiply 5312 by 66.
21⋅98⋅9+5312⋅66+3518
Combine.
21⋅98⋅9+53⋅612⋅6+3518
Multiply 3518 by 44.
21⋅98⋅9+53⋅612⋅6+3518⋅44
Combine.
21⋅98⋅9+53⋅612⋅6+35⋅418⋅4
Multiply 8 by 9.
21⋅972+53⋅612⋅6+35⋅418⋅4
Reorder the factors of 12⋅6.
21⋅972+53⋅66⋅12+35⋅418⋅4
Multiply 6 by 12.
21⋅972+53⋅672+35⋅418⋅4
Reorder the factors of 18⋅4.
21⋅972+53⋅672+35⋅44⋅18
Multiply 4 by 18.
21⋅972+53⋅672+35⋅472
21⋅972+53⋅672+35⋅472
Combine fractions.
Combine fractions with similar denominators.
21⋅9+53⋅6+35⋅472
Multiply.
Multiply 21 by 9.
189+53⋅6+35⋅472
Multiply 53 by 6.
189+318+35⋅472
Multiply 35 by 4.
189+318+14072
189+318+14072
189+318+14072
Simplify the numerator.