Solve 51-(4.9*500)div90.5^2

$$51-(4.9 \times 500) \div { 90.5 }^{ 2 }$$

Evaluate

$$\frac{1661011}{32761}\approx 50.700863832$$

Solution Steps

Multiply 4.9 and 500 to get 2450.

$$51-\frac{2450}{90.5^{2}}$$

Calculate 90.5 to the power of 2 and get 8190.25.

$$51-\frac{2450}{8190.25}$$

Expand \frac{2450}{8190.25} by multiplying both numerator and the denominator by 100.

$$51-\frac{245000}{819025}$$

Reduce the fraction \frac{245000}{819025} to lowest terms by extracting and canceling out 25.

$$51-\frac{9800}{32761}$$

Convert 51 to fraction \frac{1670811}{32761}.

$$\frac{1670811}{32761}-\frac{9800}{32761}$$

Since \frac{1670811}{32761} and \frac{9800}{32761} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1670811-9800}{32761}$$

Subtract 9800 from 1670811 to get 1661011.

$$\frac{1661011}{32761}$$

Factor

$$\frac{11 \cdot 31 \cdot 4871}{181 ^ {2}} = 50\frac{22961}{32761} = 50.70086383199536$$