Solve 3/8+12/5*10/9-35/12

$$\frac{ 3 }{ 8 } + \frac{ 12 }{ 5 } \times \frac{ 10 }{ 9 } - \frac{ 35 }{ 12 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Multiply \frac{12}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{12\times 10}{5\times 9}-\frac{35}{12}$$

Do the multiplications in the fraction \frac{12\times 10}{5\times 9}.

$$\frac{3}{8}+\frac{120}{45}-\frac{35}{12}$$

Reduce the fraction \frac{120}{45} to lowest terms by extracting and canceling out 15.

$$\frac{3}{8}+\frac{8}{3}-\frac{35}{12}$$

Least common multiple of 8 and 3 is 24. Convert \frac{3}{8} and \frac{8}{3} to fractions with denominator 24.

$$\frac{9}{24}+\frac{64}{24}-\frac{35}{12}$$

Since \frac{9}{24} and \frac{64}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+64}{24}-\frac{35}{12}$$

Add 9 and 64 to get 73.

$$\frac{73}{24}-\frac{35}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{73}{24} and \frac{35}{12} to fractions with denominator 24.

$$\frac{73}{24}-\frac{70}{24}$$

Since \frac{73}{24} and \frac{70}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{73-70}{24}$$

Subtract 70 from 73 to get 3.

$$\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$