Solve (4.77/1.5)^2*1.5/1.25+1.5*9.8

$$\frac { ( \frac { 4.77 } { 1.5 } ) ^ { 2 } \times 1.5 } { 1.25 } + 1.5 \times 9.8$$

Evaluate

$$26.83488$$

Solution Steps

Expand \frac{4.77}{1.5} by multiplying both numerator and the denominator by 100.

$$\frac{\left(\frac{477}{150}\right)^{2}\times 1.5}{1.25}+1.5\times 9.8$$

Reduce the fraction \frac{477}{150} to lowest terms by extracting and canceling out 3.

$$\frac{\left(\frac{159}{50}\right)^{2}\times 1.5}{1.25}+1.5\times 9.8$$

Calculate \frac{159}{50} to the power of 2 and get \frac{25281}{2500}.

$$\frac{\frac{25281}{2500}\times 1.5}{1.25}+1.5\times 9.8$$

Multiply \frac{25281}{2500} and 1.5 to get \frac{75843}{5000}.

$$\frac{\frac{75843}{5000}}{1.25}+1.5\times 9.8$$

Express \frac{\frac{75843}{5000}}{1.25} as a single fraction.

$$\frac{75843}{5000\times 1.25}+1.5\times 9.8$$

Multiply 5000 and 1.25 to get 6250.

$$\frac{75843}{6250}+1.5\times 9.8$$

Multiply 1.5 and 9.8 to get 14.7.

$$\frac{75843}{6250}+14.7$$

Add \frac{75843}{6250} and 14.7 to get \frac{83859}{3125}.

$$\frac{83859}{3125}$$

Factor

$$\frac{3 \cdot 27953}{5 ^ {5}} = 26\frac{2609}{3125} = 26.83488$$