Solve 1.5+(2.5*4.5)*1/2=

$$1.5 + ( 2.5 \cdot 4.5 ) \cdot \frac { 1 } { 2 } =$$

Evaluate

$$7.125$$

Solution Steps

Multiply 2.5 and 4.5 to get 11.25.

$$1.5+11.25\times \frac{1}{2}$$

Convert decimal number 11.25 to fraction \frac{1125}{100}. Reduce the fraction \frac{1125}{100} to lowest terms by extracting and canceling out 25.

$$1.5+\frac{45}{4}\times \frac{1}{2}$$

Multiply \frac{45}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$1.5+\frac{45\times 1}{4\times 2}$$

Do the multiplications in the fraction \frac{45\times 1}{4\times 2}.

$$1.5+\frac{45}{8}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}+\frac{45}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{3}{2} and \frac{45}{8} to fractions with denominator 8.

$$\frac{12}{8}+\frac{45}{8}$$

Since \frac{12}{8} and \frac{45}{8} have the same denominator, add them by adding their numerators.

$$\frac{12+45}{8}$$

Add 12 and 45 to get 57.

$$\frac{57}{8}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {3}} = 7\frac{1}{8} = 7.125$$