Solve 2*4/4^2+3*5/2

$$\frac { 2 \times 4 } { 4 ^ { 2 } + 3 } \times \frac { 5 } { 2 }$$

Evaluate

$$\frac{20}{19}\approx 1.052631579$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8}{4^{2}+3}\times \frac{5}{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{8}{16+3}\times \frac{5}{2}$$

Add 16 and 3 to get 19.

$$\frac{8}{19}\times \frac{5}{2}$$

Multiply \frac{8}{19} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{19\times 2}$$

Do the multiplications in the fraction \frac{8\times 5}{19\times 2}.

$$\frac{40}{38}$$

Reduce the fraction \frac{40}{38} to lowest terms by extracting and canceling out 2.

$$\frac{20}{19}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{19} = 1\frac{1}{19} = 1.0526315789473684$$