Solve (1+(7)(.2)/4+.2)

$$( \frac { 1 + ( 7 ) ( .2 ) } { 4 + .2 } )$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

Multiply 7 and 0.2 to get 1.4.

$$\frac{1+1.4}{4+0.2}$$

Add 1 and 1.4 to get 2.4.

$$\frac{2.4}{4+0.2}$$

Add 4 and 0.2 to get 4.2.

$$\frac{2.4}{4.2}$$

Expand \frac{2.4}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{24}{42}$$

Reduce the fraction \frac{24}{42} to lowest terms by extracting and canceling out 6.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$