Solve 1.5*2.7-2.3div5-6.83=

$$1.5 \times 2.7 - 2.3 \div 5 - 6.83 =$$

Evaluate

$$-3.24$$

Solution Steps

Multiply 1.5 and 2.7 to get 4.05.

$$4.05-\frac{2.3}{5}-6.83$$

Expand \frac{2.3}{5} by multiplying both numerator and the denominator by 10.

$$4.05-\frac{23}{50}-6.83$$

Convert decimal number 4.05 to fraction \frac{405}{100}. Reduce the fraction \frac{405}{100} to lowest terms by extracting and canceling out 5.

$$\frac{81}{20}-\frac{23}{50}-6.83$$

Least common multiple of 20 and 50 is 100. Convert \frac{81}{20} and \frac{23}{50} to fractions with denominator 100.

$$\frac{405}{100}-\frac{46}{100}-6.83$$

Since \frac{405}{100} and \frac{46}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-46}{100}-6.83$$

Subtract 46 from 405 to get 359.

$$\frac{359}{100}-6.83$$

Convert decimal number 6.83 to fraction \frac{683}{100}.

$$\frac{359}{100}-\frac{683}{100}$$

Since \frac{359}{100} and \frac{683}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{359-683}{100}$$

Subtract 683 from 359 to get -324.

$$\frac{-324}{100}$$

Reduce the fraction \frac{-324}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{81}{25}$$

Factor

$$-3.24$$