Solve 11/2*35/8-42/3*5/4=

$$1 \frac { 1 } { 2 } \cdot 3 \frac { 5 } { 8 } - 4 \frac { 2 } { 3 } \cdot \frac { 5 } { 4 } =$$

Evaluate

$$-\frac{19}{48}\approx -0.395833333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}\times \frac{3\times 8+5}{8}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}\times \frac{3\times 8+5}{8}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Multiply 3 and 8 to get 24.

$$\frac{3}{2}\times \frac{24+5}{8}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Add 24 and 5 to get 29.

$$\frac{3}{2}\times \frac{29}{8}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Multiply \frac{3}{2} times \frac{29}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 29}{2\times 8}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Do the multiplications in the fraction \frac{3\times 29}{2\times 8}.

$$\frac{87}{16}-\frac{4\times 3+2}{3}\times \frac{5}{4}$$

Multiply 4 and 3 to get 12.

$$\frac{87}{16}-\frac{12+2}{3}\times \frac{5}{4}$$

Add 12 and 2 to get 14.

$$\frac{87}{16}-\frac{14}{3}\times \frac{5}{4}$$

Multiply \frac{14}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{87}{16}-\frac{14\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{14\times 5}{3\times 4}.

$$\frac{87}{16}-\frac{70}{12}$$

Reduce the fraction \frac{70}{12} to lowest terms by extracting and canceling out 2.

$$\frac{87}{16}-\frac{35}{6}$$

Least common multiple of 16 and 6 is 48. Convert \frac{87}{16} and \frac{35}{6} to fractions with denominator 48.

$$\frac{261}{48}-\frac{280}{48}$$

Since \frac{261}{48} and \frac{280}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{261-280}{48}$$

Subtract 280 from 261 to get -19.

$$-\frac{19}{48}$$

Factor

$$-\frac{19}{48} = -0.3958333333333333$$