Solve 31/2/1frac{4{15}+29/10}

$$\frac{ 3 \frac{ 1 }{ 2 } }{ 1 \frac{ 4 }{ 15 } +2 \frac{ 9 }{ 10 } }$$

Evaluate

$$\frac{21}{25}=0.84$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{\frac{6+1}{2}}{\frac{1\times 15+4}{15}+\frac{2\times 10+9}{10}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{2}}{\frac{1\times 15+4}{15}+\frac{2\times 10+9}{10}}$$

Multiply 1 and 15 to get 15.

$$\frac{\frac{7}{2}}{\frac{15+4}{15}+\frac{2\times 10+9}{10}}$$

Add 15 and 4 to get 19.

$$\frac{\frac{7}{2}}{\frac{19}{15}+\frac{2\times 10+9}{10}}$$

Multiply 2 and 10 to get 20.

$$\frac{\frac{7}{2}}{\frac{19}{15}+\frac{20+9}{10}}$$

Add 20 and 9 to get 29.

$$\frac{\frac{7}{2}}{\frac{19}{15}+\frac{29}{10}}$$

Least common multiple of 15 and 10 is 30. Convert \frac{19}{15} and \frac{29}{10} to fractions with denominator 30.

$$\frac{\frac{7}{2}}{\frac{38}{30}+\frac{87}{30}}$$

Since \frac{38}{30} and \frac{87}{30} have the same denominator, add them by adding their numerators.

$$\frac{\frac{7}{2}}{\frac{38+87}{30}}$$

Add 38 and 87 to get 125.

$$\frac{\frac{7}{2}}{\frac{125}{30}}$$

Reduce the fraction \frac{125}{30} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{7}{2}}{\frac{25}{6}}$$

Divide \frac{7}{2} by \frac{25}{6} by multiplying \frac{7}{2} by the reciprocal of \frac{25}{6}.

$$\frac{7}{2}\times \frac{6}{25}$$

Multiply \frac{7}{2} times \frac{6}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 6}{2\times 25}$$

Do the multiplications in the fraction \frac{7\times 6}{2\times 25}.

$$\frac{42}{50}$$

Reduce the fraction \frac{42}{50} to lowest terms by extracting and canceling out 2.

$$\frac{21}{25}$$

Factor

$$\frac{3 \cdot 7}{5 ^ {2}} = 0.84$$