Solve 4.5*18+223.25/52/70

$$\frac{ 4.5 \times 18+ \frac{ 223.25 }{ 52 } }{ 70 }$$

Evaluate

$$\frac{17741}{14560}\approx 1.218475275$$

Solution Steps

Multiply 4.5 and 18 to get 81.

$$\frac{81+\frac{223.25}{52}}{70}$$

Expand \frac{223.25}{52} by multiplying both numerator and the denominator by 100.

$$\frac{81+\frac{22325}{5200}}{70}$$

Reduce the fraction \frac{22325}{5200} to lowest terms by extracting and canceling out 25.

$$\frac{81+\frac{893}{208}}{70}$$

Convert 81 to fraction \frac{16848}{208}.

$$\frac{\frac{16848}{208}+\frac{893}{208}}{70}$$

Since \frac{16848}{208} and \frac{893}{208} have the same denominator, add them by adding their numerators.

$$\frac{\frac{16848+893}{208}}{70}$$

Add 16848 and 893 to get 17741.

$$\frac{\frac{17741}{208}}{70}$$

Express \frac{\frac{17741}{208}}{70} as a single fraction.

$$\frac{17741}{208\times 70}$$

Multiply 208 and 70 to get 14560.

$$\frac{17741}{14560}$$

Factor

$$\frac{113 \cdot 157}{5 \cdot 7 \cdot 13 \cdot 2 ^ {5}} = 1\frac{3181}{14560} = 1.2184752747252747$$