412-314+(615-516)

Remove parentheses.

412-314+615-516

A mixed number is an addition of its whole and fractional parts.

4+12-314+615-516

Add 4 and 12.

To write 4 as a fraction with a common denominator, multiply by 22.

4⋅22+12-314+615-516

Combine 4 and 22.

4⋅22+12-314+615-516

Combine the numerators over the common denominator.

4⋅2+12-314+615-516

Simplify the numerator.

Multiply 4 by 2.

8+12-314+615-516

Add 8 and 1.

92-314+615-516

92-314+615-516

92-314+615-516

92-314+615-516

A mixed number is an addition of its whole and fractional parts.

92-(3+14)+615-516

Add 3 and 14.

To write 3 as a fraction with a common denominator, multiply by 44.

92-(3⋅44+14)+615-516

Combine 3 and 44.

92-(3⋅44+14)+615-516

Combine the numerators over the common denominator.

92-3⋅4+14+615-516

Simplify the numerator.

Multiply 3 by 4.

92-12+14+615-516

Add 12 and 1.

92-134+615-516

92-134+615-516

92-134+615-516

92-134+615-516

A mixed number is an addition of its whole and fractional parts.

92-134+6+15-516

Add 6 and 15.

To write 6 as a fraction with a common denominator, multiply by 55.

92-134+6⋅55+15-516

Combine 6 and 55.

92-134+6⋅55+15-516

Combine the numerators over the common denominator.

92-134+6⋅5+15-516

Simplify the numerator.

Multiply 6 by 5.

92-134+30+15-516

Add 30 and 1.

92-134+315-516

92-134+315-516

92-134+315-516

92-134+315-516

A mixed number is an addition of its whole and fractional parts.

92-134+315-(5+16)

Add 5 and 16.

To write 5 as a fraction with a common denominator, multiply by 66.

92-134+315-(5⋅66+16)

Combine 5 and 66.

92-134+315-(5⋅66+16)

Combine the numerators over the common denominator.

92-134+315-5⋅6+16

Simplify the numerator.

Multiply 5 by 6.

92-134+315-30+16

Add 30 and 1.

92-134+315-316

92-134+315-316

92-134+315-316

92-134+315-316

To write 92 as a fraction with a common denominator, multiply by 22.

92⋅22-134+315-316

Multiply 92 and 22.

9⋅22⋅2-134+315-316

Multiply 2 by 2.

9⋅24-134+315-316

9⋅24-134+315-316

Combine the numerators over the common denominator.

9⋅2-134+315-316

Multiply 9 by 2.

18-134+315-316

Subtract 13 from 18.

54+315-316

54+315-316

To write 54 as a fraction with a common denominator, multiply by 55.

54⋅55+315-316

To write 315 as a fraction with a common denominator, multiply by 44.

54⋅55+315⋅44-316

Multiply 54 and 55.

5⋅54⋅5+315⋅44-316

Multiply 4 by 5.

5⋅520+315⋅44-316

Multiply 315 and 44.

5⋅520+31⋅45⋅4-316

Multiply 5 by 4.

5⋅520+31⋅420-316

5⋅520+31⋅420-316

Combine the numerators over the common denominator.

5⋅5+31⋅420-316

Multiply 5 by 5.

25+31⋅420-316

Multiply 31 by 4.

25+12420-316

Add 25 and 124.

14920-316

14920-316

To write 14920 as a fraction with a common denominator, multiply by 33.

14920⋅33-316

To write -316 as a fraction with a common denominator, multiply by 1010.

14920⋅33-316⋅1010

Multiply 14920 and 33.

149⋅320⋅3-316⋅1010

Multiply 20 by 3.

149⋅360-316⋅1010

Multiply 316 and 1010.

149⋅360-31⋅106⋅10

Multiply 6 by 10.

149⋅360-31⋅1060

149⋅360-31⋅1060

Combine the numerators over the common denominator.

149⋅3-31⋅1060

Multiply 149 by 3.

447-31⋅1060

Multiply -31 by 10.

447-31060

Subtract 310 from 447.

13760

13760

The result can be shown in multiple forms.

Exact Form:

13760

Decimal Form:

2.283‾

Mixed Number Form:

21760

Evaluate 4 1/2-3 1/4+(6 1/5-5 1/6)