Solve 1,2+4*21/2*3,5+1/1frac{2{3}*31/2}

$$\frac { 1,2 + 4 \cdot 2 \frac { 1 } { 2 } \cdot 3,5 + 1 } { 1 \frac { 2 } { 3 } \cdot 3 \frac { 1 } { 2 } }$$

Evaluate

$$\frac{1116}{175}\approx 6,377142857$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{1,2+4\times \frac{4+1}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{1,2+4\times \frac{5}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Express 4\times \frac{5}{2} as a single fraction.

$$\frac{1,2+\frac{4\times 5}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Multiply 4 and 5 to get 20.

$$\frac{1,2+\frac{20}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Divide 20 by 2 to get 10.

$$\frac{1,2+10\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Multiply 10 and 3,5 to get 35.

$$\frac{1,2+35+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Add 1,2 and 35 to get 36,2.

$$\frac{36,2+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Add 36,2 and 1 to get 37,2.

$$\frac{37,2}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

Multiply 1 and 3 to get 3.

$$\frac{37,2}{\frac{3+2}{3}\times \frac{3\times 2+1}{2}}$$

Add 3 and 2 to get 5.

$$\frac{37,2}{\frac{5}{3}\times \frac{3\times 2+1}{2}}$$

Multiply 3 and 2 to get 6.

$$\frac{37,2}{\frac{5}{3}\times \frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$\frac{37,2}{\frac{5}{3}\times \frac{7}{2}}$$

Multiply \frac{5}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37,2}{\frac{5\times 7}{3\times 2}}$$

Do the multiplications in the fraction \frac{5\times 7}{3\times 2}.

$$\frac{37,2}{\frac{35}{6}}$$

Divide 37,2 by \frac{35}{6} by multiplying 37,2 by the reciprocal of \frac{35}{6}.

$$37,2\times \frac{6}{35}$$

Convert decimal number 37,2 to fraction \frac{372}{10}. Reduce the fraction \frac{372}{10} to lowest terms by extracting and canceling out 2.

$$\frac{186}{5}\times \frac{6}{35}$$

Multiply \frac{186}{5} times \frac{6}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{186\times 6}{5\times 35}$$

Do the multiplications in the fraction \frac{186\times 6}{5\times 35}.

$$\frac{1116}{175}$$

Factor

$$\frac{31 \cdot 2 ^ {2} \cdot 3 ^ {2}}{7 \cdot 5 ^ {2}} = 6\frac{66}{175} = 6.377142857142857$$