Solve F+22/5=41/4

$$F + 2 \frac { 2 } { 5 } = 4 \frac { 1 } { 4 }$$

Solve for F

$$F = \frac{37}{20} = 1\frac{17}{20} = 1.85$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$20F+4\left(2\times 5+2\right)=5\left(4\times 4+1\right)$$

Multiply 2 and 5 to get 10.

$$20F+4\left(10+2\right)=5\left(4\times 4+1\right)$$

Add 10 and 2 to get 12.

$$20F+4\times 12=5\left(4\times 4+1\right)$$

Multiply 4 and 12 to get 48.

$$20F+48=5\left(4\times 4+1\right)$$

Multiply 4 and 4 to get 16.

$$20F+48=5\left(16+1\right)$$

Add 16 and 1 to get 17.

$$20F+48=5\times 17$$

Multiply 5 and 17 to get 85.

$$20F+48=85$$

Subtract 48 from both sides.

$$20F=85-48$$

Subtract 48 from 85 to get 37.

$$20F=37$$

Divide both sides by 20.

$$F=\frac{37}{20}$$