Solve 0.3*2.6+[3.7-(1.2*4.5div1.5)]

$$0.3 \times 2.6 + [ 3.7 - ( 1.2 \times 4.5 \div 1.5 ) ]$$

Evaluate

$$0.88$$

Solution Steps

Multiply 0.3 and 2.6 to get 0.78.

$$0.78+3.7-\frac{1.2\times 4.5}{1.5}$$

Add 0.78 and 3.7 to get 4.48.

$$4.48-\frac{1.2\times 4.5}{1.5}$$

Multiply 1.2 and 4.5 to get 5.4.

$$4.48-\frac{5.4}{1.5}$$

Expand \frac{5.4}{1.5} by multiplying both numerator and the denominator by 10.

$$4.48-\frac{54}{15}$$

Reduce the fraction \frac{54}{15} to lowest terms by extracting and canceling out 3.

$$4.48-\frac{18}{5}$$

Convert decimal number 4.48 to fraction \frac{448}{100}. Reduce the fraction \frac{448}{100} to lowest terms by extracting and canceling out 4.

$$\frac{112}{25}-\frac{18}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{112}{25} and \frac{18}{5} to fractions with denominator 25.

$$\frac{112}{25}-\frac{90}{25}$$

Since \frac{112}{25} and \frac{90}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-90}{25}$$

Subtract 90 from 112 to get 22.

$$\frac{22}{25}$$

Factor

$$\frac{2 \cdot 11}{5 ^ {2}} = 0.88$$