Solve [14.8+(32/7-1.5)*13/25]div41/5

$$[ 14.8 + ( 3 \frac { 2 } { 7 } - 1.5 ) \times 1 \frac { 3 } { 25 } ] \div 4 \frac { 1 } { 5 }$$

Evaluate

$$4$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{14.8+\left(\frac{21+2}{7}-1.5\right)\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Add 21 and 2 to get 23.

$$\frac{14.8+\left(\frac{23}{7}-1.5\right)\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{14.8+\left(\frac{23}{7}-\frac{3}{2}\right)\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Least common multiple of 7 and 2 is 14. Convert \frac{23}{7} and \frac{3}{2} to fractions with denominator 14.

$$\frac{14.8+\left(\frac{46}{14}-\frac{21}{14}\right)\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Since \frac{46}{14} and \frac{21}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14.8+\frac{46-21}{14}\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Subtract 21 from 46 to get 25.

$$\frac{14.8+\frac{25}{14}\times \frac{1\times 25+3}{25}}{\frac{4\times 5+1}{5}}$$

Multiply 1 and 25 to get 25.

$$\frac{14.8+\frac{25}{14}\times \frac{25+3}{25}}{\frac{4\times 5+1}{5}}$$

Add 25 and 3 to get 28.

$$\frac{14.8+\frac{25}{14}\times \frac{28}{25}}{\frac{4\times 5+1}{5}}$$

Multiply \frac{25}{14} times \frac{28}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14.8+\frac{25\times 28}{14\times 25}}{\frac{4\times 5+1}{5}}$$

Cancel out 25 in both numerator and denominator.

$$\frac{14.8+\frac{28}{14}}{\frac{4\times 5+1}{5}}$$

Divide 28 by 14 to get 2.

$$\frac{14.8+2}{\frac{4\times 5+1}{5}}$$

Add 14.8 and 2 to get 16.8.

$$\frac{16.8}{\frac{4\times 5+1}{5}}$$

Multiply 4 and 5 to get 20.

$$\frac{16.8}{\frac{20+1}{5}}$$

Add 20 and 1 to get 21.

$$\frac{16.8}{\frac{21}{5}}$$

Divide 16.8 by \frac{21}{5} by multiplying 16.8 by the reciprocal of \frac{21}{5}.

$$16.8\times \frac{5}{21}$$

Convert decimal number 16.8 to fraction \frac{168}{10}. Reduce the fraction \frac{168}{10} to lowest terms by extracting and canceling out 2.

$$\frac{84}{5}\times \frac{5}{21}$$

Multiply \frac{84}{5} times \frac{5}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{84\times 5}{5\times 21}$$

Cancel out 5 in both numerator and denominator.

$$\frac{84}{21}$$

Divide 84 by 21 to get 4.

$$4$$

Factor

$$2^{2}$$