Solve [40+26+(49-38)-26]+[16.5+(48:6:2)+100:25]=

$$[ 40 + 26 + ( 49 - 38 ) - 26 ] + [ 16.5 + ( 48 : 6 : 2 ) + 100 : 25 ] =$$

Evaluate

$$75.5$$

Solution Steps

Add 40 and 26 to get 66.

$$66+49-38-26+16.5+\frac{\frac{48}{6}}{2}+\frac{100}{25}$$

Add 66 and 49 to get 115.

$$115-38-26+16.5+\frac{\frac{48}{6}}{2}+\frac{100}{25}$$

Subtract 38 from 115 to get 77.

$$77-26+16.5+\frac{\frac{48}{6}}{2}+\frac{100}{25}$$

Subtract 26 from 77 to get 51.

$$51+16.5+\frac{\frac{48}{6}}{2}+\frac{100}{25}$$

Add 51 and 16.5 to get 67.5.

$$67.5+\frac{\frac{48}{6}}{2}+\frac{100}{25}$$

Express \frac{\frac{48}{6}}{2} as a single fraction.

$$67.5+\frac{48}{6\times 2}+\frac{100}{25}$$

Multiply 6 and 2 to get 12.

$$67.5+\frac{48}{12}+\frac{100}{25}$$

Divide 48 by 12 to get 4.

$$67.5+4+\frac{100}{25}$$

Add 67.5 and 4 to get 71.5.

$$71.5+\frac{100}{25}$$

Divide 100 by 25 to get 4.

$$71.5+4$$

Add 71.5 and 4 to get 75.5.

$$75.5$$

Factor

$$\frac{151}{2} = 75\frac{1}{2} = 75.5$$