Solve 18.09*(6.5div3.75-a5)

$$18.09 \times ( 6.5 \div 3.75 - a 5 )$$

Evaluate

$$-\frac{1809a_{5}}{100}+31.356$$

Solution Steps

Expand \frac{6.5}{3.75} by multiplying both numerator and the denominator by 100.

$$18.09\left(\frac{650}{375}-a_{5}\right)$$

Reduce the fraction \frac{650}{375} to lowest terms by extracting and canceling out 25.

$$18.09\left(\frac{26}{15}-a_{5}\right)$$

Use the distributive property to multiply 18.09 by \frac{26}{15}-a_{5}.

$$18.09\times \frac{26}{15}-18.09a_{5}$$

Convert decimal number 18.09 to fraction \frac{1809}{100}.

$$\frac{1809}{100}\times \frac{26}{15}-18.09a_{5}$$

Multiply \frac{1809}{100} times \frac{26}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1809\times 26}{100\times 15}-18.09a_{5}$$

Do the multiplications in the fraction \frac{1809\times 26}{100\times 15}.

$$\frac{47034}{1500}-18.09a_{5}$$

Reduce the fraction \frac{47034}{1500} to lowest terms by extracting and canceling out 6.

$$\frac{7839}{250}-18.09a_{5}$$

Expand

$$-\frac{1809a_{5}}{100}+31.356$$

Solution Steps

Expand \frac{6.5}{3.75} by multiplying both numerator and the denominator by 100.

$$18.09\left(\frac{650}{375}-a_{5}\right)$$

Reduce the fraction \frac{650}{375} to lowest terms by extracting and canceling out 25.

$$18.09\left(\frac{26}{15}-a_{5}\right)$$

Use the distributive property to multiply 18.09 by \frac{26}{15}-a_{5}.

$$18.09\times \frac{26}{15}-18.09a_{5}$$

Convert decimal number 18.09 to fraction \frac{1809}{100}.

$$\frac{1809}{100}\times \frac{26}{15}-18.09a_{5}$$

Multiply \frac{1809}{100} times \frac{26}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1809\times 26}{100\times 15}-18.09a_{5}$$

Do the multiplications in the fraction \frac{1809\times 26}{100\times 15}.

$$\frac{47034}{1500}-18.09a_{5}$$

Reduce the fraction \frac{47034}{1500} to lowest terms by extracting and canceling out 6.

$$\frac{7839}{250}-18.09a_{5}$$