Solve 9/4-1/10*3/1*7/12*frac{1}{5}*5frac{1}{3}

$$\frac { 9 } { 4 } - \frac { 1 } { 10 } \times \frac { 3 } { 1 } \times \frac { 7 } { 12 } \times \frac { 1 } { 5 } \times 5 \frac { 1 } { 3 }$$

Evaluate

$$\frac{619}{300}\approx 2.063333333$$

Solution Steps

Anything divided by one gives itself.

$$\frac{9}{4}-\frac{1}{10}\times 3\times \frac{7}{12}\times \frac{1}{5}\times \frac{5\times 3+1}{3}$$

Multiply \frac{1}{10} and 3 to get \frac{3}{10}.

$$\frac{9}{4}-\frac{3}{10}\times \frac{7}{12}\times \frac{1}{5}\times \frac{5\times 3+1}{3}$$

Multiply \frac{3}{10} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}-\frac{3\times 7}{10\times 12}\times \frac{1}{5}\times \frac{5\times 3+1}{3}$$

Do the multiplications in the fraction \frac{3\times 7}{10\times 12}.

$$\frac{9}{4}-\frac{21}{120}\times \frac{1}{5}\times \frac{5\times 3+1}{3}$$

Reduce the fraction \frac{21}{120} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}-\frac{7}{40}\times \frac{1}{5}\times \frac{5\times 3+1}{3}$$

Multiply \frac{7}{40} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}-\frac{7\times 1}{40\times 5}\times \frac{5\times 3+1}{3}$$

Do the multiplications in the fraction \frac{7\times 1}{40\times 5}.

$$\frac{9}{4}-\frac{7}{200}\times \frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{9}{4}-\frac{7}{200}\times \frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{9}{4}-\frac{7}{200}\times \frac{16}{3}$$

Multiply \frac{7}{200} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}-\frac{7\times 16}{200\times 3}$$

Do the multiplications in the fraction \frac{7\times 16}{200\times 3}.

$$\frac{9}{4}-\frac{112}{600}$$

Reduce the fraction \frac{112}{600} to lowest terms by extracting and canceling out 8.

$$\frac{9}{4}-\frac{14}{75}$$

Least common multiple of 4 and 75 is 300. Convert \frac{9}{4} and \frac{14}{75} to fractions with denominator 300.

$$\frac{675}{300}-\frac{56}{300}$$

Since \frac{675}{300} and \frac{56}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{675-56}{300}$$

Subtract 56 from 675 to get 619.

$$\frac{619}{300}$$

Factor

$$\frac{619}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 2\frac{19}{300} = 2.0633333333333335$$