Solve 7.3+3.5-3/2*0.3=

$$7.3+ \frac{ 3.5-3 }{ 2 } \times 0.3=$$

Evaluate

$$7.375$$

Solution Steps

Subtract 3 from 3.5 to get 0.5.

$$7.3+\frac{0.5}{2}\times 0.3$$

Expand \frac{0.5}{2} by multiplying both numerator and the denominator by 10.

$$7.3+\frac{5}{20}\times 0.3$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$7.3+\frac{1}{4}\times 0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$7.3+\frac{1}{4}\times \frac{3}{10}$$

Multiply \frac{1}{4} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$7.3+\frac{1\times 3}{4\times 10}$$

Do the multiplications in the fraction \frac{1\times 3}{4\times 10}.

$$7.3+\frac{3}{40}$$

Convert decimal number 7.3 to fraction \frac{73}{10}.

$$\frac{73}{10}+\frac{3}{40}$$

Least common multiple of 10 and 40 is 40. Convert \frac{73}{10} and \frac{3}{40} to fractions with denominator 40.

$$\frac{292}{40}+\frac{3}{40}$$

Since \frac{292}{40} and \frac{3}{40} have the same denominator, add them by adding their numerators.

$$\frac{292+3}{40}$$

Add 292 and 3 to get 295.

$$\frac{295}{40}$$

Reduce the fraction \frac{295}{40} to lowest terms by extracting and canceling out 5.

$$\frac{59}{8}$$

Factor

$$\frac{59}{2 ^ {3}} = 7\frac{3}{8} = 7.375$$