212+415+n=1012

Convert 212 to an improper fraction.

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

2+12+415+n=1012

Add 2 and 12.

To write 2 as a fraction with a common denominator, multiply by 22.

2⋅22+12+415+n=1012

Combine 2 and 22.

2⋅22+12+415+n=1012

Combine the numerators over the common denominator.

2⋅2+12+415+n=1012

Simplify the numerator.

Multiply 2 by 2.

4+12+415+n=1012

Add 4 and 1.

52+415+n=1012

52+415+n=1012

52+415+n=1012

52+415+n=1012

Convert 415 to an improper fraction.

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

52+4+15+n=1012

Add 4 and 15.

To write 4 as a fraction with a common denominator, multiply by 55.

52+4⋅55+15+n=1012

Combine 4 and 55.

52+4⋅55+15+n=1012

Combine the numerators over the common denominator.

52+4⋅5+15+n=1012

Simplify the numerator.

Multiply 4 by 5.

52+20+15+n=1012

Add 20 and 1.

52+215+n=1012

52+215+n=1012

52+215+n=1012

52+215+n=1012

To write 52 as a fraction with a common denominator, multiply by 55.

52⋅55+215+n=1012

To write 215 as a fraction with a common denominator, multiply by 22.

52⋅55+215⋅22+n=1012

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

Multiply 52 and 55.

5⋅52⋅5+215⋅22+n=1012

Multiply 2 by 5.

5⋅510+215⋅22+n=1012

Multiply 215 and 22.

5⋅510+21⋅25⋅2+n=1012

Multiply 5 by 2.

5⋅510+21⋅210+n=1012

5⋅510+21⋅210+n=1012

Combine the numerators over the common denominator.

5⋅5+21⋅210+n=1012

Simplify the numerator.

Multiply 5 by 5.

25+21⋅210+n=1012

Multiply 21 by 2.

25+4210+n=1012

Add 25 and 42.

6710+n=1012

6710+n=1012

6710+n=1012

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

6710+n=10+12

Add 10 and 12.

To write 10 as a fraction with a common denominator, multiply by 22.

6710+n=10⋅22+12

Combine 10 and 22.

6710+n=10⋅22+12

Combine the numerators over the common denominator.

6710+n=10⋅2+12

Simplify the numerator.

Multiply 10 by 2.

6710+n=20+12

Add 20 and 1.

6710+n=212

6710+n=212

6710+n=212

6710+n=212

Subtract 6710 from both sides of the equation.

n=212-6710

To write 212 as a fraction with a common denominator, multiply by 55.

n=212⋅55-6710

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

Multiply 212 and 55.

n=21⋅52⋅5-6710

Multiply 2 by 5.

n=21⋅510-6710

n=21⋅510-6710

Combine the numerators over the common denominator.

n=21⋅5-6710

Simplify the numerator.

Multiply 21 by 5.

n=105-6710

Subtract 67 from 105.

n=3810

n=3810

Cancel the common factor of 38 and 10.

Factor 2 out of 38.

n=2(19)10

Cancel the common factors.

Factor 2 out of 10.

n=2⋅192⋅5

Cancel the common factor.

n=2⋅192⋅5

Rewrite the expression.

n=195

n=195

n=195

n=195

The result can be shown in multiple forms.

Exact Form:

n=195

Decimal Form:

n=3.8

Mixed Number Form:

n=345

Solve for n 2 1/2+4 1/5+n=10 1/2