2⋅139+43-(3-(1+45)⋅2)÷2+13

To write 43 as a fraction with a common denominator, multiply by 33.

2⋅139+43⋅33-(3-(1+45)⋅2)÷2+13

Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.

Multiply 43 and 33.

2⋅139+4⋅33⋅3-(3-(1+45)⋅2)÷2+13

Multiply 3 by 3.

2⋅139+4⋅39-(3-(1+45)⋅2)÷2+13

2⋅139+4⋅39-(3-(1+45)⋅2)÷2+13

Combine the numerators over the common denominator.

2⋅13+4⋅39-(3-(1+45)⋅2)÷2+13

Simplify the numerator.

Multiply 4 by 3.

2⋅13+129-(3-(1+45)⋅2)÷2+13

Add 13 and 12.

2⋅259-(3-(1+45)⋅2)÷2+13

2⋅259-(3-(1+45)⋅2)÷2+13

Rewrite 259 as 259.

2⋅259-(3-(1+45)⋅2)÷2+13

Simplify the numerator.

Rewrite 25 as 52.

2⋅529-(3-(1+45)⋅2)÷2+13

Pull terms out from under the radical, assuming positive real numbers.

2⋅59-(3-(1+45)⋅2)÷2+13

2⋅59-(3-(1+45)⋅2)÷2+13

Simplify the denominator.

Rewrite 9 as 32.

2⋅532-(3-(1+45)⋅2)÷2+13

Pull terms out from under the radical, assuming positive real numbers.

2⋅53-(3-(1+45)⋅2)÷2+13

2⋅53-(3-(1+45)⋅2)÷2+13

Multiply 2(53).

Combine 2 and 53.

2⋅53-(3-(1+45)⋅2)÷2+13

Multiply 2 by 5.

103-(3-(1+45)⋅2)÷2+13

103-(3-(1+45)⋅2)÷2+13

Rewrite the division as a fraction.

103-3-(1+45)⋅22+13

Simplify the numerator.

Write 1 as a fraction with a common denominator.

103-3-(55+45)⋅22+13

Combine the numerators over the common denominator.

103-3-5+45⋅22+13

Add 5 and 4.

103-3-95⋅22+13

Multiply -95⋅2.

Multiply 2 by -1.

103-3-2(95)2+13

Combine -2 and 95.

103-3+-2⋅952+13

Multiply -2 by 9.

103-3+-1852+13

103-3+-1852+13

Move the negative in front of the fraction.

103-3-1852+13

To write 3 as a fraction with a common denominator, multiply by 55.

103-3⋅55-1852+13

Combine 3 and 55.

103-3⋅55-1852+13

Combine the numerators over the common denominator.

103-3⋅5-1852+13

Simplify the numerator.

Multiply 3 by 5.

103-15-1852+13

Subtract 18 from 15.

103–352+13

103–352+13

Move the negative in front of the fraction.

103–352+13

103–352+13

Multiply the numerator by the reciprocal of the denominator.

103-(-35⋅12)+13

Multiply -35⋅12.

Multiply 12 and 35.

103–32⋅5+13

Multiply 2 by 5.

103–310+13

103–310+13

Multiply –310.

Multiply -1 by -1.

103+1(310)+13

Multiply 310 by 1.

103+310+13

103+310+13

103+310+13

Combine fractions with similar denominators.

10+13+310

Add 10 and 1.

113+310

113+310

To write 113 as a fraction with a common denominator, multiply by 1010.

113⋅1010+310

To write 310 as a fraction with a common denominator, multiply by 33.

113⋅1010+310⋅33

Multiply 113 and 1010.

11⋅103⋅10+310⋅33

Multiply 3 by 10.

11⋅1030+310⋅33

Multiply 310 and 33.

11⋅1030+3⋅310⋅3

Multiply 10 by 3.

11⋅1030+3⋅330

11⋅1030+3⋅330

Combine the numerators over the common denominator.

11⋅10+3⋅330

Multiply 11 by 10.

110+3⋅330

Multiply 3 by 3.

110+930

Add 110 and 9.

11930

11930

Combine 2* square root of 13/9+4/3-(3-(1+4/5)*2)÷2+1/3