Solve 100-32.3966-29.8661/3.4491100

$$100- \frac{ 32.3966-29.8661 }{ 3.4491 } 100$$

Evaluate

$$\frac{306200}{11497}\approx 26.633034705$$

Solution Steps

Subtract 29.8661 from 32.3966 to get 2.5305.

$$100-\frac{2.5305}{3.4491}\times 100$$

Expand \frac{2.5305}{3.4491} by multiplying both numerator and the denominator by 10000.

$$100-\frac{25305}{34491}\times 100$$

Reduce the fraction \frac{25305}{34491} to lowest terms by extracting and canceling out 3.

$$100-\frac{8435}{11497}\times 100$$

Express \frac{8435}{11497}\times 100 as a single fraction.

$$100-\frac{8435\times 100}{11497}$$

Multiply 8435 and 100 to get 843500.

$$100-\frac{843500}{11497}$$

Convert 100 to fraction \frac{1149700}{11497}.

$$\frac{1149700}{11497}-\frac{843500}{11497}$$

Since \frac{1149700}{11497} and \frac{843500}{11497} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1149700-843500}{11497}$$

Subtract 843500 from 1149700 to get 306200.

$$\frac{306200}{11497}$$

Factor

$$\frac{1531 \cdot 2 ^ {3} \cdot 5 ^ {2}}{11497} = 26\frac{7278}{11497} = 26.633034704705576$$