Solve (4-7/1.5)^2*2.5/1.25+1.5*10

$$\frac { ( \frac { 4 - 7 } { 1.5 } ) ^ { 2 } \times 2.5 } { 1.25 } + 1.5 \times 10$$

Evaluate

$$23$$

Solution Steps

Subtract 7 from 4 to get -3.

$$\frac{\left(\frac{-3}{1.5}\right)^{2}\times 2.5}{1.25}+1.5\times 10$$

Expand \frac{-3}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{\left(\frac{-30}{15}\right)^{2}\times 2.5}{1.25}+1.5\times 10$$

Divide -30 by 15 to get -2.

$$\frac{\left(-2\right)^{2}\times 2.5}{1.25}+1.5\times 10$$

Calculate -2 to the power of 2 and get 4.

$$\frac{4\times 2.5}{1.25}+1.5\times 10$$

Multiply 4 and 2.5 to get 10.

$$\frac{10}{1.25}+1.5\times 10$$

Expand \frac{10}{1.25} by multiplying both numerator and the denominator by 100.

$$\frac{1000}{125}+1.5\times 10$$

Divide 1000 by 125 to get 8.

$$8+1.5\times 10$$

Multiply 1.5 and 10 to get 15.

$$8+15$$

Add 8 and 15 to get 23.

$$23$$

Factor

$$23$$