Solve 2500/447*100+447/2*2.25+9*2500

$$\frac{ 2500 }{ 447 } \times 100+ \frac{ 447 }{ 2 } \times 2.25+9 \times 2500$$

Evaluate

$$\frac{84258281}{3576}\approx 23562.159116331$$

Solution Steps

Express \frac{2500}{447}\times 100 as a single fraction.

$$\frac{2500\times 100}{447}+\frac{447}{2}\times 2.25+9\times 2500$$

Multiply 2500 and 100 to get 250000.

$$\frac{250000}{447}+\frac{447}{2}\times 2.25+9\times 2500$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{250000}{447}+\frac{447}{2}\times \frac{9}{4}+9\times 2500$$

Multiply \frac{447}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{250000}{447}+\frac{447\times 9}{2\times 4}+9\times 2500$$

Do the multiplications in the fraction \frac{447\times 9}{2\times 4}.

$$\frac{250000}{447}+\frac{4023}{8}+9\times 2500$$

Least common multiple of 447 and 8 is 3576. Convert \frac{250000}{447} and \frac{4023}{8} to fractions with denominator 3576.

$$\frac{2000000}{3576}+\frac{1798281}{3576}+9\times 2500$$

Since \frac{2000000}{3576} and \frac{1798281}{3576} have the same denominator, add them by adding their numerators.

$$\frac{2000000+1798281}{3576}+9\times 2500$$

Add 2000000 and 1798281 to get 3798281.

$$\frac{3798281}{3576}+9\times 2500$$

Multiply 9 and 2500 to get 22500.

$$\frac{3798281}{3576}+22500$$

Convert 22500 to fraction \frac{80460000}{3576}.

$$\frac{3798281}{3576}+\frac{80460000}{3576}$$

Since \frac{3798281}{3576} and \frac{80460000}{3576} have the same denominator, add them by adding their numerators.

$$\frac{3798281+80460000}{3576}$$

Add 3798281 and 80460000 to get 84258281.

$$\frac{84258281}{3576}$$

Factor

$$\frac{1613 \cdot 52237}{3 \cdot 149 \cdot 2 ^ {3}} = 23562\frac{569}{3576} = 23562.159116331095$$