Solve -163h/56+882/16=

$$- 16 \frac { 3 h } { 56 } + 8 \frac { 82 } { 16 } =$$

Evaluate

$$-\frac{6h}{7}+\frac{105}{8}$$

Short Solution Steps

Express -16\times \frac{3h}{56} as a single fraction.

$$\frac{-16\times 3h}{56}+\frac{8\times 16+82}{16}$$

Multiply 8 and 16 to get 128.

$$\frac{-16\times 3h}{56}+\frac{128+82}{16}$$

Add 128 and 82 to get 210.

$$\frac{-16\times 3h}{56}+\frac{210}{16}$$

Reduce the fraction \frac{210}{16} to lowest terms by extracting and canceling out 2.

$$\frac{-16\times 3h}{56}+\frac{105}{8}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 56 and 8 is 56. Multiply \frac{105}{8} times \frac{7}{7}.

$$\frac{-16\times 3h}{56}+\frac{105\times 7}{56}$$

Since \frac{-16\times 3h}{56} and \frac{105\times 7}{56} have the same denominator, add them by adding their numerators.

$$\frac{-16\times 3h+105\times 7}{56}$$

Do the multiplications in -16\times 3h+105\times 7.

$$\frac{-48h+735}{56}$$

Expand

$$-\frac{6h}{7}+\frac{105}{8}$$

Short Solution Steps

Express -16\times \frac{3h}{56} as a single fraction.

$$\frac{-16\times 3h}{56}+\frac{8\times 16+82}{16}$$

Multiply 8 and 16 to get 128.

$$\frac{-16\times 3h}{56}+\frac{128+82}{16}$$

Add 128 and 82 to get 210.

$$\frac{-16\times 3h}{56}+\frac{210}{16}$$

Reduce the fraction \frac{210}{16} to lowest terms by extracting and canceling out 2.

$$\frac{-16\times 3h}{56}+\frac{105}{8}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 56 and 8 is 56. Multiply \frac{105}{8} times \frac{7}{7}.

$$\frac{-16\times 3h}{56}+\frac{105\times 7}{56}$$

Since \frac{-16\times 3h}{56} and \frac{105\times 7}{56} have the same denominator, add them by adding their numerators.

$$\frac{-16\times 3h+105\times 7}{56}$$

Do the multiplications in -16\times 3h+105\times 7.

$$\frac{-48h+735}{56}$$