910-45m=m10-13

Combine m and 45.

910-m⋅45=m10-13

Move 4 to the left of m.

910-4m5=m10-13

910-4m5=m10-13

Subtract m10 from both sides of the equation.

910-4m5-m10=-13

To write -4m5 as a fraction with a common denominator, multiply by 22.

910-4m5⋅22-m10=-13

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 4m5 and 22.

910-4m⋅25⋅2-m10=-13

Multiply 5 by 2.

910-4m⋅210-m10=-13

910-4m⋅210-m10=-13

Combine the numerators over the common denominator.

910+-4m⋅2-m10=-13

Combine the numerators over the common denominator.

9-4m⋅2-m10=-13

Simplify the numerator.

Multiply 2 by -4.

9-8m-m10=-13

Subtract m from -8m.

9-9m10=-13

Factor 9 out of 9-9m.

Factor 9 out of 9.

9(1)-9m10=-13

Factor 9 out of -9m.

9(1)+9(-m)10=-13

Factor 9 out of 9(1)+9(-m).

9(1-m)10=-13

9(1-m)10=-13

9(1-m)10=-13

9(1-m)10=-13

Multiply both sides of the equation by 10.

9(1-m)=-13⋅10

Apply the distributive property.

9⋅1+9(-m)=-13⋅10

Multiply.

Multiply 9 by 1.

9+9(-m)=-13⋅10

Multiply -1 by 9.

9-9m=-13⋅10

9-9m=-13⋅10

9-9m=-13⋅10

Multiply -13⋅10.

Multiply 10 by -1.

9-9m=-10(13)

Combine -10 and 13.

9-9m=-103

9-9m=-103

Move the negative in front of the fraction.

9-9m=-103

9-9m=-103

Subtract 9 from both sides of the equation.

-9m=-103-9

To write -9 as a fraction with a common denominator, multiply by 33.

-9m=-103-9⋅33

Combine -9 and 33.

-9m=-103+-9⋅33

Combine the numerators over the common denominator.

-9m=-10-9⋅33

Simplify the numerator.

Multiply -9 by 3.

-9m=-10-273

Subtract 27 from -10.

-9m=-373

-9m=-373

Move the negative in front of the fraction.

-9m=-373

-9m=-373

Divide each term in -9m=-373 by -9.

-9m-9=-373⋅(-19)

Cancel the common factor of -9.

Cancel the common factor.

-9m-9=-373⋅(-19)

Divide m by 1.

m=-373⋅(-19)

m=-373⋅(-19)

Multiply -373(-19).

Multiply -1 by -1.

m=1(373)19

Multiply 373 by 1.

m=373⋅19

Multiply 373 and 19.

m=373⋅9

Multiply 3 by 9.

m=3727

m=3727

m=3727

The result can be shown in multiple forms.

Exact Form:

m=3727

Decimal Form:

m=1.370‾

Mixed Number Form:

m=11027

Solve for m 9/10-4/5m=m/10-1/3