(513)m-30-119m-18

Regroup terms.

(513)m-30-119m-18

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

(5+13)m-30-119m-18

Add 5 and 13.

To write 5 as a fraction with a common denominator, multiply by 33.

(5⋅33+13)m-30-119m-18

Combine 5 and 33.

(5⋅33+13)m-30-119m-18

Combine the numerators over the common denominator.

5⋅3+13m-30-119m-18

Simplify the numerator.

Multiply 5 by 3.

15+13m-30-119m-18

Add 15 and 1.

163m-30-119m-18

163m-30-119m-18

163m-30-119m-18

163m-30-119m-18

Combine 163 and m.

16m3-30-119m-18

Factor 2 out of 16m3.

28m3-30-119m-18

Factor 2 out of -30.

28m3+2(-15)-119m-18

Factor 2 out of 28m3+2(-15).

2(8m3-15)-119m-18

2(8m3-15)-119m-18

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

2(8m3-15)-(1+19)m-18

Add 1 and 19.

Write 1 as a fraction with a common denominator.

2(8m3-15)-(99+19)m-18

Combine the numerators over the common denominator.

2(8m3-15)-9+19m-18

Add 9 and 1.

2(8m3-15)-109m-18

2(8m3-15)-109m-18

2(8m3-15)-109m-18

Combine m and 109.

2(8m3-15)-m⋅109-18

Move 10 to the left of m.

2(8m3-15)-10⋅m9-18

Multiply 10 by m.

2(8m3-15)-10m9-18

Factor -1 out of -10m9-18.

Factor -1 out of -10m9.

2(8m3-15)-(10m9)-18

Rewrite -18 as -1(18).

2(8m3-15)-(10m9)-1(18)

Factor -1 out of -(10m9)-1(18).

2(8m3-15)-(10m9+18)

2(8m3-15)-(10m9+18)

Factor.

Factor 2 out of 10m9+18.

Factor 2 out of 10m9.

2(8m3-15)-(25m9+18)

Factor 2 out of 18.

2(8m3-15)-(25m9+2(9))

Factor 2 out of 25m9+2(9).

2(8m3-15)-(2(5m9+9))

2(8m3-15)-(2(5m9+9))

Remove unnecessary parentheses.

2(8m3-15)-1⋅2(5m9+9)

2(8m3-15)-1⋅2(5m9+9)

Multiply -1 by 2.

2(8m3-15)-2(5m9+9)

2(8m3-15)-2(5m9+9)

Factor 2 out of -2(5m9+9).

2(8m3-15)+2(-(5m9+9))

Factor 2 out of 2(8m3-15)+2(-(5m9+9)).

2(8m3-15-(5m9+9))

2(8m3-15-(5m9+9))

Apply the distributive property.

2(8m3-15-5m9-1⋅9)

Multiply -1 by 9.

2(8m3-15-5m9-9)

To write 8m3 as a fraction with a common denominator, multiply by 33.

2(8m3⋅33-5m9-15-9)

Multiply 8m3 and 33.

2(8m⋅33⋅3-5m9-15-9)

Multiply 3 by 3.

2(8m⋅39-5m9-15-9)

2(8m⋅39-5m9-15-9)

Combine the numerators over the common denominator.

2(8m⋅3-5m9-15-9)

To write -15 as a fraction with a common denominator, multiply by 99.

2(8m⋅3-5m9-15⋅99-9)

Combine -15 and 99.

2(8m⋅3-5m9+-15⋅99-9)

Combine the numerators over the common denominator.

2(8m⋅3-5m-15⋅99-9)

To write -9 as a fraction with a common denominator, multiply by 99.

2(8m⋅3-5m-15⋅99-9⋅99)

Combine -9 and 99.

2(8m⋅3-5m-15⋅99+-9⋅99)

Combine the numerators over the common denominator.

28m⋅3-5m-15⋅9-9⋅99

Reorder terms.

23⋅8m-5m-9⋅9-15⋅99

Multiply 3 by 8.

224m-5m-9⋅9-15⋅99

Multiply -9 by 9.

224m-5m-81-15⋅99

Multiply -15 by 9.

224m-5m-81-1359

Subtract 5m from 24m.

219m-81-1359

Subtract 135 from -81.

219m-2169

219m-2169

Factor (5 1/3)m-30-1 1/9m-18