212+f=314

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

2+12+f=314

Add 2 and 12.

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

2⋅22+12+f=314

Combine 2 and 22.

2⋅22+12+f=314

Combine the numerators over the common denominator.

2⋅2+12+f=314

Simplify the numerator.

Multiply 2 by 2.

4+12+f=314

Add 4 and 1.

52+f=314

52+f=314

52+f=314

52+f=314

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

52+f=3+14

Add 3 and 14.

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

52+f=3⋅44+14

Combine 3 and 44.

52+f=3⋅44+14

Combine the numerators over the common denominator.

52+f=3⋅4+14

Simplify the numerator.

Multiply 3 by 4.

52+f=12+14

Add 12 and 1.

52+f=134

52+f=134

52+f=134

52+f=134

Subtract 52 from both sides of the equation.

f=134-52

To write -52 as a fraction with a common denominator, multiply by 22.

f=134-52⋅22

Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.

Multiply 52 and 22.

f=134-5⋅22⋅2

Multiply 2 by 2.

f=134-5⋅24

f=134-5⋅24

Combine the numerators over the common denominator.

f=13-5⋅24

Simplify the numerator.

Multiply -5 by 2.

f=13-104

Subtract 10 from 13.

f=34

f=34

f=34

The result can be shown in multiple forms.

Exact Form:

f=34

Decimal Form:

f=0.75

Solve for f 2 1/2+f=3 1/4