Solve 6div(2+1/2)^2+1=

$$6 \div ( 2 + \frac { 1 } { 2 } ) ^ { 2 } + 1 =$$

Evaluate

$$\frac{49}{25}=1.96$$

Solution Steps

Add 2 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{6}{\left(\frac{5}{2}\right)^{2}}+1$$

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$\frac{6}{\frac{25}{4}}+1$$

Divide 6 by \frac{25}{4} by multiplying 6 by the reciprocal of \frac{25}{4}.

$$6\times \frac{4}{25}+1$$

Multiply 6 and \frac{4}{25} to get \frac{24}{25}.

$$\frac{24}{25}+1$$

Add \frac{24}{25} and 1 to get \frac{49}{25}.

$$\frac{49}{25}$$

Factor

$$\frac{7 ^ {2}}{5 ^ {2}} = 1\frac{24}{25} = 1.96$$