Solve {r}{43/32}{-41/64}{-97/16}

$$\left. \begin{array} { r } { 4 \frac { 3 } { 32 } } \\ { - 4 \frac { 1 } { 64 } } \\ { - 9 \frac { 7 } { 16 } } \end{array} \right.$$

Evaluate

$$-\frac{599}{64}=-9.359375$$

Solution Steps

Multiply 4 and 32 to get 128.

$$\frac{128+3}{32}-\frac{4\times 64+1}{64}-\frac{9\times 16+7}{16}$$

Add 128 and 3 to get 131.

$$\frac{131}{32}-\frac{4\times 64+1}{64}-\frac{9\times 16+7}{16}$$

Multiply 4 and 64 to get 256.

$$\frac{131}{32}-\frac{256+1}{64}-\frac{9\times 16+7}{16}$$

Add 256 and 1 to get 257.

$$\frac{131}{32}-\frac{257}{64}-\frac{9\times 16+7}{16}$$

Least common multiple of 32 and 64 is 64. Convert \frac{131}{32} and \frac{257}{64} to fractions with denominator 64.

$$\frac{262}{64}-\frac{257}{64}-\frac{9\times 16+7}{16}$$

Since \frac{262}{64} and \frac{257}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{262-257}{64}-\frac{9\times 16+7}{16}$$

Subtract 257 from 262 to get 5.

$$\frac{5}{64}-\frac{9\times 16+7}{16}$$

Multiply 9 and 16 to get 144.

$$\frac{5}{64}-\frac{144+7}{16}$$

Add 144 and 7 to get 151.

$$\frac{5}{64}-\frac{151}{16}$$

Least common multiple of 64 and 16 is 64. Convert \frac{5}{64} and \frac{151}{16} to fractions with denominator 64.

$$\frac{5}{64}-\frac{604}{64}$$

Since \frac{5}{64} and \frac{604}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-604}{64}$$

Subtract 604 from 5 to get -599.

$$-\frac{599}{64}$$

Factor

$$-\frac{599}{64} = -9\frac{23}{64} = -9.359375$$